Parts of a Circle 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.

1. 1 mark

   Here is a circle with centre \(O\).

   State the mathematical name of the line \(OA\).

2. 1 mark

   A circular clock face on a station wall has a diameter of \(48\) cm.

   Work out the radius of the clock face.

3. 1 mark

   Nadia measures the circular trampoline in her garden. The distance from the centre \(O\) to the edge is \(11\) cm.

   Find the diameter of the trampoline.

4. 2 marks

   Here is a description of one part of a circle.

   > The part that goes touching the circle at exactly one point.

   Write down its mathematical name, and explain how it differs from a chord.

5. 2 marks

   Here is a circle with centre \(O\). The shaded region is bounded by two radii and the arc between them.

   The angle at the centre is \(45^\circ\).

   What fraction of the whole circle is shaded? Give your answer in its simplest form.

6. 1 mark

   Here is a circle with centre \(O\).

   State the mathematical name of the line \(BC\).

7. 1 mark

   A circular wheel on a scooter has a diameter of \(16\) cm.

   Find the radius of the wheel.

8. 1 mark

   Sam measures the circular paddling pool in his garden. The distance from the centre \(O\) to the edge is \(11\) cm.

   Find the diameter of the paddling pool.

9. 2 marks

   Here is a description of one part of a circle.

   > The part that goes the whole way round the outside.

   Write down its mathematical name, and explain how it differs from a arc.

10. 2 marks

    The diagram shows a circle with centre \(O\). The shaded region is bounded by two radii and the arc between them.

    The angle at the centre is \(60^\circ\).

    What fraction of the whole circle is shaded? Give your answer in its simplest form.

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