# Area of Circle Formula

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The area of a circle is the amount of space enclosed within the boundary of a circle.

## What is the Formula for Circle's Area?

The area of the circle formula in terms of the radius(r) is:

Area of a Circle = πr2

The area of the circle formula in terms of the diameter(d) is:

Area of a Circle = (π/4)×d2

## Solved Examples Formula for Circle's Area

### Example1: If the length of the radius of a circle is 4 units. Calculate its area.

Solution:

To find: Area of the circle.

Using the formula for the circle's area,

Area of a Circle = πr2

Put the values,

A = π42

A =π × 16

A =  16π ≈ 50.27

Answer: The area of the circle is 50.27 squared units.

### The length of the largest chord of a circle is 12 units. Find the area of the circle.

Solution:

To find: The area of the circle.

Diameter(d)  = 12 units(given)

Using the formula for the circle's area,

Area of a Circle = (π/4)×d2

Put the values,

A = (π/4) × 122

A = (π/4) × 144

A =  36π ≈ 113.1

Answer: The area of the circle is 113.1 squared units.