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.

Area of a circle-1

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.

Area of a circle-2 Area of a circle-3

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.

To get all the Maths formulas check out the main page. 

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Area of a circle
Area of a circle

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Frequently Asked Questions on Area of a circle

The area of the circle can be calculated by using the different formulas like
1. Area of Circle = π × r2, ('r' is the radius)
2. Area of Circle = (π/4) × d2, (d' is the diameter)
3. Area of Circle = C2/4π, ( C is the circumference)

The area of the circle can be calculated by different formulas it depending on what information is given in the questions like diameter or radius or circumference. Based on the data given in the questions, you can use 
Area of Circle = π × r2, ('r' is the radius)
Area of Circle = (π/4) × d2, (d' is the diameter)
Area of Circle = C2/4π, ( C is the circumference)

The perimeter of a circle is always equal to its circumference and circumference can be defined as of the circle is equal to the length of its boundary. 
The area of a circle = πr2 
perimeter is= 2πr 
π = Circumference ÷ Diameter
π = C/2r
C= 2πr