Formula 1 Racing Teams 2018

The season resumed in Belgium, after the mid-season break. Hamilton started from pole but lost the lead to title rival Vettel on the first lap after a straight-line high-speed pass. Vettel eventually won the race with Hamilton second and Verstappen completing the podium with third. Also notable was a first-corner crash that saw a lock-up by Hülkenberg send Alonso over the top of Leclerc, while Räikkönen and Ricciardo had their own incident that eventually ended both drivers' races.

Racing Point Force India qualified 3rd and 4th on the grid during qualifying, and finished 5th and 6th in the race. In Canada, Vettel won from pole taking the world championship lead by one point from Hamilton. Bottas finished 2nd for the fourth time this season as Verstappen finished third, his qualifying position. The race result was counted back to the standings at the end of lap 68 after the chequered flag was waved a lap early in error – although this did not impact the top 10 standings. The fastest lap of the race however, was affected. Red Bull's Daniel Ricciardo had set two fastest laps on laps 69 and 70, but because the chequered flag mistakenly waved early and the results were taken from lap 68, the fastest lap went to Max Verstappen, who had set it back on lap 65.

The minimum weight of the chassis was raised to 734 kg (1,618.2 lb), in order to accommodate the additional weight of the halo. The mandatory crash tests that each chassis must pass were adjusted to include a new static load test. In order to simulate a serious accident, a tyre was mounted to a hydraulic ram and fired at the crash structure; to pass the test, the chassis and the mounting points for the halo had to remain intact. The technical regulations were updated mid-season to allow teams to mount rear view mirrors to the halo instead of affixing them to the bodywork. Several solutions were tested, with the final design subject to feedback from teams and drivers. The FIA ultimately settled on the "halo", a wishbone-shaped frame mounted above and around the driver's head and anchored to the monocoque forward of the cockpit.

Seventeen accidents were examined as case studies, with the FIA concluding that the halo would have prevented injuries in fifteen of them. In the other two instances – most notably Jules Bianchi's fatal accident – the FIA concluded that although the halo would not have prevented driver injuries, it would not have contributed to or complicated the outcome of the accidents. In Brazil, the penultimate race of the season, Ferrari needed to outscore Mercedes by at least 13 points to remain in contention for the Constructors' Championship. Hamilton started from pole but lost the lead to Max Verstappen on lap 40 as Mercedes had to turn his engine down to prevent failure. Verstappen then looked set to win the race, but was spun around on lap 44 by the Force India of Esteban Ocon who was attempting to unlap himself . Verstappen's spin allowed Hamilton to retake the lead and subsequently win the race.

Räikkönen finished third for Ferrari while his teammate Vettel finished sixth after a sensor problem and a failed gamble on tyre strategy compromised his race. This, combined with Hamilton's win and Bottas's fifth-place finish, allowed Mercedes to clinch their fifth successive Constructors' Championship. In Italy, on Ferrari's home turf, Räikkönen took the fastest ever pole position in F1 history until the 2020 Italian Grand Prix, ahead of teammate Vettel. There was a first lap incident between Hamilton and Vettel which left the latter struggling as he could only manage 4th. During a nail-biting race, Hamilton overtook Räikkönen on lap 45, thus winning his sixth race of the season, with Räikkönen finishing second and Bottas finishing third after a collision with Verstappen.

In Germany, Vettel took his fifth pole of the season on home turf. He led the race until lap 52 when he made a mistake at turn 13 and crashed into the wall following a small rain shower, forcing him to retire. The incident triggered a safety car, which saw the leading cars of Bottas and Räikkönen pit for new tyres. Meanwhile, Hamilton took the lead of the race after starting 14th having made one less pit stop.

After the safety car restart, Hamilton led Bottas home in a 1–2 for Mercedes on home soil with Räikkönen completing the podium for Ferrari. Following widespread criticism of the grid penalty system in 2017 that regularly saw multiple drivers start races outside their qualifying positions, the FIA introduced a revised set of regulations for 2018. If multiple drivers are moved to the back of the grid, their starting positions are determined by the order that components were changed based on the most recent change made by each driver. At his home race in Great Britain, Hamilton took pole on his final flying lap, with the two Ferraris of Vettel and Räikkönen both within a tenth of his time. However, he dropped down to 18th on the first lap after contact with Räikkönen sent him into a spin. Two safety car periods late in the race bunched the field up, one for a single car crash involving Ericsson and the other after contact between Grosjean and Sainz.

Vettel passed Bottas for the lead with 5 laps to go to take his fourth win of the season and extend his championship lead. Hamilton recovered from his first lap crash to take second ahead of Räikkönen. In the event that a race is suspended due to a red flag, it would be restarted with a standing start. Drivers would return to the starting grid in the positions they held at the time of the suspension and the race director would repeat the race start procedure. In Singapore, a track where Mercedes traditionally struggled, Hamilton took pole position with the fastest lap which he described as "magical" and as one of the best laps he's ever done. Hamilton would go on to win the race with title rival Vettel finishing third behind Verstappen.

The race also saw both Kevin Magnussen and Haas get their first fastest lap. The championship started in Melbourne with the Australian Grand Prix. Kimi Räikkönen finished third in the other Ferrari ahead of Red Bull Racing's Daniel Ricciardo. McLaren ended the first race of their partnership with Renault with a fifth and ninth place for Alonso and Vandoorne respectively. Max Verstappen finished sixth after an early spin ahead of Nico Hülkenberg.

Valtteri Bottas was eighth, having started fifteenth when he took a penalty for a gearbox change after a heavy crash in qualifying. Carlos Sainz Jr. completed the points-scoring positions in tenth. Charles Leclerc and Sergey Sirotkin both made their competitive débuts for Sauber and Williams respectively.

Leclerc finished thirteenth while Sirotkin retired with a brake failure. At the United States Grand Prix Hamilton could win the world championship if he outscored Vettel by 8 points or more. It was Hamilton who took pole with Räikkönen starting second. Vettel actually qualified second but had to start fifth after being penalised for not slowing enough during a red flag period in first practice. The race was won by Räikkönen, his first win in 114 grand prix which was a new record. Verstappen finished second and Hamilton third, as Vettel finished fourth.

Hamilton only outscored Vettel by three points meaning he had failed to wrap up the title on his first attempt. Hamilton took pole position and victory in the returning French Grand Prix, taking the world championship lead back with 14 points, with Vettel finishing only 5th after a first corner crash with Bottas. Verstappen finished second, taking advantage of the Vettel–Bottas crash.

Räikkönen finished third, passing Ricciardo in the closing laps of the race. In Spain, Hamilton had taken pole position. However, the first lap saw the safety car deployed when Haas's Romain Grosjean spun off at turn 3. He had spun back onto the track, but his spinning rear tyres caused a plume of smoke to bellow, which Pierre Gasly of Toro Rosso and Nico Hülkenberg of Renault got caught in and led to a 3-car retirement. In the end, Hamilton won comfortably in Spain, extending his lead to seventeen points. Bottas finished second while Verstappen finished third, his first podium of the season.

In Abu Dhabi, the final race of the season, the safety car was brought out on the first lap when Renault's Nico Hülkenberg barrel-rolled into the barricade at turn 9 after accidentally colliding with Grosjean. In his final race for Ferrari, Raikkonen retired on lap 7 when his engine failed, triggering the virtual safety car. In the end, Hamilton won with Vettel finishing second, and the two Red Bulls third and fourth. After the race, Hamilton and Vettel flanked the retiring Fernando Alonso on the post-race lap, and all three drivers performed synchronized "donuts" on the finish straight. Hamilton took his first win of the year in Azerbaijan and with it, the lead in the Drivers' Championship.

Räikkönen finished 2nd while Sergio Pérez claimed 3rd. With 10 laps to go, Bottas was leading followed by Vettel and Hamilton. When the Red Bulls crashed they brought out the safety car.

Bottas pitted under safety car and came out still leading but a puncture on the penultimate lap caused him to retire. Vettel, who was second behind him at the restart, locked up on cold tyres at turn 1 and went wide, dropping behind the remaining top three. Force India were placed into administration on 27 July 2018, during the Hungarian Grand Prix weekend.

After speculation of a purchase, any sale of the team in a short time-span was complicated by legal proceedings against certain shareholders and the need for debt settlement. A consortium led by Lawrence Stroll purchased the racing assets and operations of Force India through a company named Racing Point UK Ltd. The original team, known as "Sahara Force India", was then excluded from the Constructors' Championship on the grounds of their inability to participate in remaining races. This allowed a new team known as "Racing Point Force India" to apply for a late entry and start their participation in the championship from the Belgian Grand Prix.

The team was required to keep "Force India" as part of their constructor name as their chassis had been homologated under the Force India name and Formula One sporting regulations required the constructor name to include the chassis name. The new team began with zero points in the Constructors' Championship, though their drivers retained the points they had scored in the Drivers' Championship. The other teams later agreed to allow the Racing Point Force India team to retain prize money accrued by Sahara Force India in the preceding years. In Mexico, Vettel needed to win the Grand Prix and Hamilton 8th or lower for the Championship to remain in contention. Red Bull's Daniel Ricciardo secured his latest pole position, but would eventually retire from the Grand Prix with an engine failure, his eighth failure to finish during the season. His teammate, Max Verstappen won by 17.3 seconds while Vettel came in second place.

Hamilton finished in 4th place, which was enough to secure his fifth Drivers' Championship. Power unit suppliers are required to provide all teams using their engines with an identical specification of power units. The change was introduced to ensure parity after Mercedes's works team was observed to have access to additional engine performance settings that were not available to their customer teams. The season was, for the second consecutive year, a title battle between Mercedes and Ferrari.

The 2018 season saw two four-time World Champions, Lewis Hamilton and Sebastian Vettel, as the main Championship challengers. It was the first time in Formula One history, two quadruple world champions would be competing for a fifth title and the season was billed as the Fight for Five by journalists and fans. Hamilton won the World Drivers' Championship title, while his team, Mercedes, secured the World Constructors' Championship title.

Hamilton clinched his fifth title at the 2018 Mexican Grand Prix, with the team securing its fifth consecutive title at the following race. Ferrari driver Sebastian Vettel finished runner-up, 88 points behind Hamilton, with his teammate Kimi Räikkönen finishing third. In the Constructors' Championship, Mercedes finished 84 points ahead of Ferrari, with Red Bull Racing-TAG Heuer in third, 152 points behind Ferrari. In Russia, Bottas started from pole and was the virtual race leader for the first half of the race but obeyed team orders and allowed Hamilton to overtake him on lap 26.

This allowed Hamilton to win the race followed by Bottas and Vettel. In Austria, Bottas started the race on pole, followed by Hamilton and Räikkönen. However, in the race, both Mercedes suffered from technical problems and neither one was able to finish the race.

Ricciardo also retired from the race. Verstappen won, followed by Räikkönen in 2nd and Vettel in 3rd. Haas took full advantage of the Mercedes and Ricciardo retirements and finished 4th and 5th . Vettel re-took the lead of the championship by 1 point, following Hamilton's retirement. The FIA made several changes to its trackside procedures to further accommodate the halo.

The time limit on the extraction test – the test of a driver extracting himself from the survival cell of a crashed car – was extended to allow drivers more time to escape. The starting gantries at circuits were also lowered to improve the visibility of the starting lights. Restrictions against the practice of oil burning, where engine oils are burned as fuel to boost performance, were also introduced. The practice, which was first used in 2017 saw teams burning as much as 1.2 litres per one hundred kilometres.

For the 2018 championship, this figure was revised down to a maximum of 0.6 litres per one hundred kilometres. The rules were further amended to restrict teams to using a single specification of oil, which must be declared before the race. These oils are subject to stricter definitions of what is considered "oil" in order to prevent teams from using exotic blends designed to boost performance. Teams are also required to inform the stewards of the mass of oil in each oil tank before the race. The FIA introduced tighter restrictions on racing licences issued to drivers taking part in free practice sessions.

Candidate drivers are required to complete a minimum number of Formula 2 races or earn twenty-five superlicense points over a three-year period. The changes were introduced to address concerns about drivers who would not be able to meet the standards required to compete in Formula One having access to Formula One cars. Charles Leclerc, the reigning Formula 2 champion, made his competitive début with Sauber. Leclerc, who had previously driven in Friday practice sessions in 2016 and 2017, was hired by the team to replace Pascal Wehrlein. Wehrlein was ultimately unable to secure a race seat and was instead enlisted as one of Mercedes's test and reserve drivers while racing full-time in the Deutsche Tourenwagen Masters series.

Daniel Ricciardo set the fastest lap on lap 70, but an error in the chequered flag being waved early saw the race results validated on lap 68. Max Verstappen was officially recognised as setting the fastest lap. The quantity of power unit components a driver may use during the season was reduced from four complete power units during the entire season in 2017 to a new system where each of the power unit components is considered separately. However, in China, Vettel's winning run was broken, with Ricciardo's 2 stop strategy helping the Australian to his sixth career victory, ahead of Bottas and Räikkönen.

Ricciardo pitted for a new set of softs with 20 laps to go under safety car while the leaders stayed out on their used set of mediums, he then fought his way past both Ferraris and Mercedes to the lead. Vettel then won from pole at the next round in Bahrain, holding off a late charge from Bottas to win by seven-tenths of a second. Hamilton finished third despite a 5 place grid penalty for a gearbox change and contact with Verstappen on the second lap. Further changes to the technical regulations require the temperature of air in the plenum chamber – adjacent to the turbocharger – to be more than 10 °C above the ambient air temperature. This rule was introduced in a bid to limit the performance gains possible via charge air cooling. Active control valves, which electronically regulate the flow of fluids between power unit components, were also banned.

Toro Rosso parted ways with Renault – allowing McLaren to finalise their agreement with Renault – and came to an agreement to use Honda power units. As part of the deal, Red Bull Racing loaned Toro Rosso driver Carlos Sainz Jr. to Renault's works team. The following teams and drivers participated in the 2018 FIA Formula One World Championship. All teams competed with tyres supplied by Pirelli. In 2018, the championship saw the introduction of a new cockpit protection device, known as the "halo".

The introduction of the halo was the first stage of a planned rollout that would see the device adopted in all FIA-sanctioned open wheel series by 2020. In Japan, Hamilton took the pole which he then converted into victory after leading every lap, he was followed by Bottas in second and Max Verstappen in third. This was Hamilton's 80th pole position and Bottas's 30th podium finish. Tyre partner and supplier Pirelli provided teams with two new tyre compounds in 2018. Each of the 2017 compounds was made softer, with a new "hypersoft" tyre becoming the softest of the nine and a new "superhard" tyre to be the hardest. The hypersoft compound was marked by a pink sidewall, while the superhard was orange.

Area Of A Circle Formula Using Circumference

The circle is a two-dimensional shape, which possesses its area and perimeter. The perimeter of the circle is also termed as the circumference, which is the measure around the circle. The area of the circle is the region defined by it in a 2D plane. A circle is also termed as the locus of the points drawn at equidistant levels from the centre. The measure from the centre of the circle to the outer line is its radius.

Diameter is the line that separates the circle into two equal parts and is also equal to twice the radius. A circle is a fundamental shape that is measured in terms of its radius. In geometry or mathematics, a circle can be defined as a special variety of ellipse in which the eccentricity is zero and the two foci are coincident. As with triangles and rectangles, we can attempt to derive formulas for the area and "perimeter" of a circle.

Calculating the circumference of a circle is not as easy as calculating the perimeter of a rectangle or triangle, however. Given an object in real life having the shape of a circle, one approach might be to wrap a string exactly once around the object and then straighten the string and measure its length. This first argument is an example of MP7, Look For and Make Use of Structure. The key to this argument is identifying that all circles are similar and then applying the meaning of similarity to the circumference. The second argument exemplifies MP8, Look For and Express Regularity in Repeated Reasoning. Here the key is to compare the circle to a more familiar shape, the triangle.

The circumference of a circle of radius $r$ is $2\pi r$. This well known formula is taken up here from the point of view of similarity. It is important to note in this task that the definition of $\pi$ already involves the circumference of a circle, a particular circle.

In order to show that the ratio of circumference to diameter does not depend on the size of the circle, a similarity argument is required. Two different approaches are provided, one using the fact that all circles are similar and a second using similar triangles. This former approach is simpler but the latter has the advantage of leading into an argument for calculating the area of a circle. The first solution requires a general understanding of similarity of shapes while the second requires knowledge of similarity specific to triangles. The perimeter and area of triangles, quadrilaterals , circles, arcs, sectors and composite shapes can all be calculated using relevant formulae.

In above program, we first take radius of circle as input from user and store it in variable radius. Then we calculate the circumference of circle using above mentioned formulae and print it on screen using cout. I am going to discuss these axioms in a moment, but first let me show how Claim follows. But by Axiom 1 the length of the arc $PBQ$ is greater than $PQ$, while it follows from Euclid III.2 that $OB$ is greater than $OA$. Applying symmetry, this implies Claim in this case, and ought to suggest how the reasoning goes in general. A circle is a closed curve formed by a set of points on a plane that are the same distance from its center.

The area of a circle is the region enclosed by the circle. The area of a circle is equals to pi (π) multiplied by its radius squared. The radius, the diameter, and the circumference are the three defining aspects of every circle.

Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. You can also think of the radius as the distance between the center of the circle and its edge. Like all geometric shapes, circles take up space and a formula is required to calculate the area.

If the area of the circle is not equal to that of the triangle, then it must be either greater or less. We eliminate each of these by contradiction, leaving equality as the only possibility. The properties of circles have been studied for over 2,000[/latex] years. All circles have exactly the same shape, but their sizes are affected by the length of the radius, a line segment from the center to any point on the circle. A line segment that passes through a circle's center connecting two points on the circle is called a diameter. A circle is a closed shape formed by tracing a point that moves in a plane such that its distance from a given point is constant.

The word circle is derived from the Greek word kirkos, meaning hoop or ring. In this article, we cover the important terms related to circles, their properties, and various circle formulas. From point B, on the circle, draw another circle with center at B, and radius OB.

The intersections of the two circles at A and E form equilateral triangles AOB and EOB, since they are composed of 3 congruent radii. Extend the radii forming these triangles through circle O to form the inscribed regular hexagon with 6 equilateral triangles. Is called the circumference and is the linear distance around the edge of a circle. The circumference of a circle is proportional to its diameter, d, and its radius, r, and relates to the famous mathematical constant, pi (π).

A circle is known as a closed plane geometrical shape. Technically, it is the locus of a point that moves around a fixed point at a fixed distance that is away from that point. A circle is basically a closed curve that has its outer line at an equal distance from the centre. This fixed distance from the central point is known as the radius of the circle. In our day to day life, we often see many examples like a pizza, wheel, etc. Let us learn about these terms in regards to a circle.

We use this formula to measure the space which is occupied by either a circular plot or a field. In this article today, we will discuss the area of circle definition, the area of a circle equation, its circumference and surface area in detail. Cover the circle with concentric circles of "r" radius. After dividing the circle along the designated line shown in the above figure and spreading the lines, the outcome will be a triangle. The base of the triangle will be equivalent to the circumference of the circle, and its height will be identical to the radius of the circle. Below is the formula calculation for the same.

The distance from the centre to the outer line of the circle is called a radius. It is the most important quantity of the circle based on which formulas for the area and circumference of the circle are derived. Twice the radius of a circle is called the diameter of the circle. The diameter cuts the circle into two equal parts, which is called a semi-circle. When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account.

Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle. When we have the length of the diameter or the radius or the circumference of the circle, we can find the surface area of the circle by using the surface area formula. This surface area of the circle is represented in terms of square units. Is made up of a large number of concentric circular pieces of very thin string. The first step is to approximate the area of a circle using a regular polygon.

We inscribe a regular polygon in the circle and split up the polygon into congruent isosceles triangles as shown below. The area of a regular polygon is half its perimeter times the apothem. As the number of sides of the regular polygon increases, the polygon tends to a circle, and the apothem tends to the radius. This suggests that the area of a disk is half the circumference of its bounding circle times the radius. A circle is the set of points in a plane that are equidistant from a given point . The distance from the centeris called the radius, and the point is called the center.

The angle a circle subtends from its center is a full angle, equal to or radians. The proof of this theorem in the extant version immediately follows its statement. I'll sketch it below, with a bit of explanation and a few more figures added. The basic idea is almost exactly the same as that of Euclid's proof of Theorem XII.2, which asserts that the area of a circle is proportional to the square of its radius.

The overlap of Archimedes' argument with that of Euclid should not be surprising, since Euclid's Theorem XII.2 is an immediate consequence of Archimedes'. The sectors are pulled out of the circle and are arranged as shown in the middle diagram. The length across the top is half of the circumference. When placed in these positions, the sectors form a parallelogram. The larger the number of sectors that are cut, the less curvy the arcs will appear and the more the shape will resemble a parallelogram.

As seen in the last diagram, the parallelogram ca be changed into a rectangle by slicing half of the last sector and placing it to the far left. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Finding the radius is not always easy, especially if you don't have the circle's center. You can calculate the area using the diameter instead. The same formula applies as above, but you need first to calculate the radius of the circle. Simply divide the diameter by 2 to get the radius. The circle circumference is the perimeter of an elliptical or circular shape. In other words, this is the arc length or boundary length of the circle; if we straightened it out or open up in a line segment.

In this method, we divide the circle into 16 equal sectors. The sectors are arranged in such a way that they form a rectangle. All sectors are similar in area, so hence all sectors' arc length would be equal.

The circle's area would be the same as the area of the parallelogram shape or rectangle. Only a mathematician can genuinely understand the practical importance of formulas for calculating area, radius, diameter, or circle circumference. While most people think that formulas have no practical use, they are critical factors in many everyday life routines.

The perimeter of a closed figure is known to be the length of its total boundary. When it comes to the circles, the perimeter is called by a different name. It is referred to as the 'circumference' of the given circle. This circumference is known as the total length of the boundary of the given circle. If we open the circle and form a straight line, the length of the straight line that we get is the circumference. For defining the circumference of a circle, we need to know a term called 'pi'.

Consider the circle shown below having its centre at O and radius r. Remember that circumference and perimeter are alway measured in feet, inches, centimeters, etc. Area is alway measured in square units and volume always in cube units. To recall, the area is the region that occupied the shape in a two-dimensional plane.

In this article, you will learn the area of a circle and the formulas for calculating the area of a circle. Knowledge of area and perimeter of squares, rectangles, triangles and composite figures. Lauren is planning her trip to London, and she wants to take a ride on the famous ferris wheel called the London Eye. While researching facts about the giant ferris wheel, she learns that the radius of the circle measures approximately 68 meters. What is the approximate circumference of the ferris wheel? Since area is a measure of two dimensions, you always report area in square units like square inches or square feet .

This is especially important when calculating the area of a circle for an assignment since an answer without correctly reported units is likely incorrect or incomplete. Pi (π) is a non-algebraic number that represents the ratio of the distance around the circle to its diameter, usually estimated as 3.14. To solve for area, square the radius then multiply by 3.14. And as Math Open Reference states, the formula takes the circumference of the entire circle (2πr).

It reduces it by the ratio of the degree measure of the arc angle to the degree measure of the entire circle . In this formula, r represents the radius, which is a segment that connects the center of the circle to a point on the edge of the circle. It is half the size of the diameter, and every radius inside of a circle will be the same. Let's take a brief look at how to find the area of circles. Π shows the ratio of the perimeter of a circle to the diameter. Therefore, when you divide the circumference by the diameter for any circle, you obtain a value close enough to π.

This relationship can be explained by the formula mentioned below. The following are some mathematical formulae that will help you calculate the area and perimeter/circumference of a circle. You can refer to the below screenshot to see the output for the python program to calculate the area and perimeter of a circle using class.

You can refer to the below screenshot to see the output for the python program to calculate the area and circumference of a circle using an inbuilt math module. Here, we will see python program to calculate the area and circumference of a circle using an inbuilt math module. Archimedes' argument has the same basic design as other arguments applying the method of exhaustion - carrying out some potentially infinite process until something happened to stop it. Eudoxus is elsewhere said to be the one who invented the extremely sophisticated way in which Euclid proved results about possibly irrational ratios.

The method of exhaustion and the theory of ratios are the two most subtle parts of ancient Greek mathematics. They provided the touchstone of rigor in mathematics for several centuries, but applying them was an awkward business because it generally required a different approach to each problem. Still, there was no alternative until Cauchy in the early nineteenth century began the development of modern mathematical reasoning by introducing his algebra of inequalities. It involves dividing the circle into many sectors and rearranging the sectors to form a rectangle. The base of the rectangle is shown to be πr and the height of the rectangle is r. The area of the rectangle is then the product of πr and r.