Area of a circle

You learn to work out the area of a circle.

How to work it out

  1. Multiply radius by itself: r × r.
  2. Multiply that by π (approximately 3.14).
5 cm

A worked example

A circle has radius 3 cm. What is the area?

  1. Radius times radius times π: 3 × 3 × 3.14 = 28.26.
  2. The area is about 28.3 cm².
Another example

A circle has radius 5 m. What is the area?

  1. Radius times radius times π: 5 × 5 × 3.14 = 78.5.
  2. The area is about 78.5 m².

Watch out

  • You multiply the radius by 2 instead of by itself: with radius 5 you work out 10 × 3.14.

    That is the circumference. For the area you do 5 × 5.

  • You forget the ² in your answer.

    An area is always a square unit: cm² or m².

Tips

  • Area = radius × radius × π.

Why it works

The area is radius times radius times π. The radius is from the middle to the edge. If the radius is 3, the area is 3 × 3 × 3.14 = about 28.3.