Area of a circle

About Area of a circle

The area of a circle in a two-dimensional plane is the area occupied by the circle. It can be simply calculated using the formula A = πr², (Pi r-squared), where r is the circle's radius. The square unit, such as m², cm², and so on, is the unit of area.

Area of Circle = πr² or πd2/4

here π = 22/7 or 3.14

What is the Area of the Circle?

The area of a circle is the area surrounded or covered by its boundary. It is calculated in square metres.

Every geometrical shape has a distinct area. In a two-dimensional plane, this area is the region that takes up the shape. Now we'll study about the circle's area. The area of a circle is defined as the area covered by one complete cycle of its radius on a two-dimensional plane. How can we figure out the area of any circular object or place now?

Area of a Circle Formula

Let us suppose a circle with a radius r.

In the above figure, we can see a circle, where radius r from the center ‘p’ to the boundary of the circle. The area of this circle, A, is then equal to the product of pi and the radius squared. It is provided by;

Area of Circle, A = πr² square units

Thus, the value of π = 22/7 or 3.14 and r is the radius.

Determining the circle’s area using rectangles

The circle is divided into 16 equal sectors, which are placed in the manner illustrated in fig. 3. The parallelogram-shaped figure formed by the sectors taken out of the circle will have the same area as the circle. Because the sectors have the same area, they will have the same arc length. Half of the circumference will be made up of red coloured sectors, while the other half will be made up of blue coloured sectors. The parallelogram will eventually resemble a rectangle with length equal to r and width equal to r if the number of sectors sliced from the circle is increased.

In the area of a rectangle (A), we get

A = πr×r

A = πr²

How to Find Area of a Circle?

As we all know, the area of a circle is equal to pi times the radius squared, or π x r². To calculate the area of a circle, we must first determine the radius or diameter of the circle.

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