# Area of Circle Formula

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

Let's learn more about the formula for the circle's area with a few solved examples.

## 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 = πr^{2}

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

Area of a Circle = (π/4)×d^{2}

## 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.

Radius(r) = 4 units(given)

Using the formula for the circle's area,

Area of a Circle = πr^{2}

Put the values,

A = π4^{2}

A =π × 16

A = 16π ≈ 50.27

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

**Example 2:**

### 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)×d^{2}

Put the values,

A = (π/4) × 12^{2}

A = (π/4) × 144

A = 36π ≈ 113.1

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

- Live one on one classroom and doubt clearing
- Practice worksheets in and after class for conceptual clarity
- Personalized curriculum to keep up with school