The length of the rectangle would b equal to πr with a width equal to r. By increasing the number of the sectors cut from the circle, the parallelogram will change into a rectangle. The green highlighted sectors represent the circle’s half circumference while the other half of circumference is represented by blur highlighted ones. In this image, you can see 16 sectors, including 8 green and 8 blue ones. The circle’s area would be the same as the area of the parallelogram shape or rectangle. All sectors are similar in area, so hence all sectors’ arc length would be equal. The sectors are arranged in such a way that they form a rectangle. In this method, we divide the circle into 16 equal sectors. Let’s take a look at these two methods to understand the area of the circle better. Calculating circle area using triangles.Calculating circle area using rectangles.Two methods prove the formula of the area of the circle, known as: To remember the circle area formula, use the phrase ‘ pie are squared, but they are round.” Methods to derive the area of the circle: You can also calculate the radius by dividing the diameter by 2. It is the distance of any line from the center of the circle to the circle’s edge. “R” is used to represent the radius of the circle. It is a never-ending number that the Egyptians first discovered while calculating the area of a circle. The number that is used to balance the equation of any circle is represented as π. Many students have question in minds that what is the formula for finding the area of a circle? So answer is very simple the formula for the area of a circle is A = πr2. How to find the area of a circle or what is the formula for finding the area of a circle In short, from designing a simple machine such as a clock to develop a complex nuclear reactor, circular calculations play a significant role. ![]() These circular measurements are also significant for engineers in designing airplanes, bicycles, rockets, etc. While most people think that formulas have no practical use, they are critical factors in many everyday life routines.Īrchitects use the symmetrical properties of a circle to design Ferris-wheels, buildings, athletic tracks, roundabouts, etc. Only a mathematician can genuinely understand the practical importance of formulas for calculating area, radius, diameter, or circle circumference. The number π has application in calculating statistical distributions like the normal distribution (gaussian distribution), which are used throughout the sciences.Practical applications for circle area calculations The invention of the wheel was one of the transforming events in early human history, as it dramatically reduced the energy expended in moving stuff around and made travelling easier. cylinders, tubes, gears, and others are used by engineers in clocks, bikes, cars, trains, ships, planes, and even rockets. The famous Ferris-wheel attraction is a circle, as are the wheels on your car or bike. Circles are used when planning athletic tracks, recreational areas, buildings, and roundabouts, so knowing their area is important in construction, landscaping, etc. Practical applicationĬircle geometry has a wide array of practical uses. ![]() Apply the second equation to get π x (12 / 2) 2 = 3.14159 x 36 = 113.1 cm 2 (square centimeters). Task 2: Find the area of a circle given its diameter is 12 cm. For example, if the radius is 5 inches, then using the first area formula calculate π x 5 2 = 3.14159 x 25 = 78.54 sq in. Task 1: Given the radius of a circle, find its area.
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