Area of Circle: |

The area of a circle calculator helps you to calculate the area of a circle with the diameter, radius and circumference of a circle.

## Area of a Circle

The area of a circle is defined as the amount of space it takes to surround the circle. It is calculated by the equation A = πr2, where A is the area, r is the radius, and π is the constant pi (approximately 3.14159).

## Area of a Circle formula

The formula for the area of a circle is:

Based on | Area of Circle |
---|---|

Radius | A = π(r)² = π(radius)² |

Diameter | A = π(D/2)² = π(dimater/2)² |

Circumference | A = C²/4π = circumference²/4π |

## SolvedExample

Example.1:- The radius of a circle is 10 cm, find the area of a circle.

**Answer:- **Area = πr² = 22/7 * (10)² = 314.15 cm².

Example. 2 The circumference of a circle is 20 cm, find its circle area.

**Answer:- **Circumference of circle = 2πr = 20 cm

radius = 10/π

Area = πr² = π * (10/ π)² = 100/π = 31.83 cm².

Example.3:- The diameter of a circle is 20cm, find its area.

**Answer:- **diameter = radius/2 ⇨ radius = diameter/2 = 20/2 = 10 cm.

Area = πr² = π * (10)² = 314.15 cm².

## FAQ

### What is the area based on diameter?

Divide the diameter by 2 to obtain the radius of the circle. Then, square the radius and multiply it by π to calculate the area.

Area = π(diamter/2)²

where, π (pi) = 3.14159.