Area and Circumference of Circles worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 23 marks Sheet 1

Generate a different sheet

2 marks
Here is a round rug being made in a hallway.

The radius of the circle is \(12\) cm.

Find the area of the circle. Give your answer in terms of \(\pi\).
2 marks
The circle has a radius of \(5\) cm.

Work out its area. Give your answer correct to 1 decimal place.
2 marks
\(AB\) is a diameter of the circle and \(AB = 14\) cm.

Find the circumference of the circle. Give your answer in terms of \(\pi\).
2 marks
The circumference of the circle is \(26\pi\) cm.

Work out the radius of the circle.
3 marks
(a)
Here is a circle with centre \(O\). \(AB\) is a diameter and \(AB = 6\) cm.

The shaded region is a semicircle.

Calculate the perimeter of the shaded semicircle. Give your answer in terms of \(\pi\).

(b)
Calculate the area of the shaded semicircle. Give your answer in terms of \(\pi\).
3 marks
(a)
\(OA\) and \(OB\) are radii of a circle with centre \(O\), and angle \(AOB = 90^\circ\).

\(OA = 12\) cm and the shaded region is a quarter of the circle.

Work out the length of the arc \(AB\). Give your answer in terms of \(\pi\).

(b)
Work out the area of the shaded quarter circle. Give your answer in terms of \(\pi\).
3 marks
(a)
Dani's go-kart wheel has a diameter of \(40\) cm.

Calculate how far the wheel travels in one complete turn. Give your answer correct to 1 decimal place.

(b)
Calculate how far the wheel travels in \(20\) complete turns. Give your answer in metres, correct to 1 decimal place.
2 marks
The diagram shows a circular pond being made in a garden.

The radius of the circle is \(11\) cm.

Calculate the area of the circle. Give your answer in terms of \(\pi\).
2 marks
The circle has a radius of \(11\) cm.

Work out its area. Give your answer to 1 decimal place.
2 marks
\(AB\) is a diameter of the circle and \(AB = 10\) cm.

Calculate the circumference of the circle. Give your answer in terms of \(\pi\).

Answers

\(144\pi\ \text{cm}^2\)
\(78.5\ \text{cm}^2\)
\(14\pi\ \text{cm}\)
\(13\ \text{cm}\)
(a) \((3\pi + 6)\ \text{cm}\)
(b) \(\frac{9}{2}\pi\ \text{cm}^2\)
(a) \(6\pi\ \text{cm}\)
(b) \(36\pi\ \text{cm}^2\)
(a) \(125.7\ \text{cm}\)
(b) \(25.1\ \text{m}\)
\(121\pi\ \text{cm}^2\)
\(380.1\ \text{cm}^2\)
\(10\pi\ \text{cm}\)

← All GCSE maths worksheets