WTMaths logo
Area of a Circle

Area of a Circle

When the radius of a circle is known, the are of the circle can be calculated using a formula.

The formula is `A = pir^2`, where π is 3.14 and r is the radius of the circle. π is a fixed value and can be found on a button on your calculator.

If the diameter is known, the radius can be found by halving the diameter.

The area is an area measurement, and the answer will be in cm2, m2, etc.

Example 1

What is the area of the circle, below?

What is the area of a circle given a radius of 15cm

Area of a circle A `= pir^2`
substitute `= pi xx 15^2`
`= 706.5`

Answer: 706.5 cm2

Example 2

What is the diameter of a wheel, if the area is 500 cm2? Give your answer to the nearest centimetre.

Area of a circle A `= pir^2`
substitute 500 `= pi xx r^2`
divide both sides by π 159.24 `= r^2`
square root both sides 12.62 `= r`
diameter = 2 x radius 12.62 x 2 `= d`
25.24 `= d`
nearest cm 25 `= d`

Answer: 25 cm