﻿ Definition and examples area of a circle | define area of a circle - geometry - Free Math Dictionary Online

# Area of a Circle

## Definition of Area of a Circle

Area of a Circle is the amount of space occupied by the circle.

### More About Area of a Circle

Area of a circle of radius r is given by = πr2.

### Examples of Area of a Circle

Diameter = 12 cm, radius = = = 6 cm.
Area of a circle = πr2 = π(6)2 = 36π cm2 or 113.04 cm2. [Use π = or 3.14]

### Solved Example on Area of a Circle

A. 25.12 cm2
B. 6.28 cm2
C. 12.46 cm2
D. 12.56 cm2

#### Solution:

Step 1: Let r be radius of the circle.
Step 2: Diameter of the circle = 2r
Step 3: 4 = 2 × r.
Step 4: r = 4/2 = 2 cm
Step 5: Area of the circle = π × r2 [Formula.]
Step 6: Area of the circle = 3.14 × 4 = 12.56 [Substitute the values of π and r.]
Step 7: So, the area of the circle is 12.56 cm2
Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student