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Circles, sectors and arcs - EdexcelArea of a circle

The circumference of a circle is its outside edge, and is the same distance from the centre at every point along its length. This distance is called the radius. Learn how to measure and calculate these, along with the area and diameter of a circle.

Part ofMathsGeometry and measure

Area of a circle

Click to explore updated revision resources for GCSE Maths: Area of circles, with step-by-step slideshows, quizzes, practice exam questions, and more!

The formula to calculate the area of a circle, with radius \(r\) is: \(\text{area of a circle} = \pi r^2\)

Example

Calculate the area of the clock face. Give your answer to one decimal place.

Clock face with radius, 8cm

\(\text{Area} = \pi \times 8^2\)

Remember to use . The radius must be squared first before multiplying by \(\pi\).

The exact value for the area is = \(64\pi\). Rounded to 1 decimal place, the area is 201.1 cm2.