# How to find the area and circumference of a circle?

Area and circumference can easily be calculated using only the radius of the circle.

## Answer: The area of the circle is given by the formula π × r^{2}, while the circumference is given by the formula 2π × r

Go through the solution with solved examples to understand the formula more thoroughly.

**Explanation:**

To find the area of the circle:

The area of a circle denotes the total space enclosed within the circle. We can find the area of the circle with the help of the radius. The area of a circle is equal to π times the square of the radius.

Area of the circle = π × r^{2}

Example:

Find the area of a circle with radius = 3 in.

A = π × 3 in. × 3 in.

A = 3.14 × 9 sq. in.

A = 28.26 sq. in.

You can use area of circle calculator to verify the answer.

To find the circumference of the circle:

Circumference tells the total length of the boundary of the circle. It can also be calculated using the radius of the circle.

Circumference of the circle = 2π × r

Example:

Take a circle with a radius of 4 inches. Calculate the circumference of this circle.

Multiplying the radius by 6.28 gives you 25.12. So, the circle's circumference is 25.12 inches. Since circumference can also be written as 6.28 r, substituting the value of π as 3.14.

You can use the circumference of circle calculator to verify the answer.