Printable · GCSE Foundation · ages 14-16
Circle definitions and parts of a circle worksheet — GCSE Foundation
Fifteen questions on "circle definitions and parts of a circle" — DfE statement G9. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Circle definitions and parts of a circle worksheet — GCSE Foundation
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- 1.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 2.A tangent touches a circle with centre O at the point P. Q is a point on the tangent. Write down the circle fact that tells you the size of angle OPQ.
- 3.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 4.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 5.Two points on a circle divide its circumference into two arcs of different lengths. Write down the name given to the shorter of the two arcs.
- 6.A circle has centre O. PQ, RS and TU are three chords of the circle, and only one of them passes through O. Write down what this tells you about that chord.
- 7.A cyclist rides around a perfectly circular track with centre O. At every moment of the ride, the distance from O to the cyclist is exactly the same. Which term names this fixed distance?
- 8.A sector of a circle is bounded by two straight edges and one curved edge. Write down the mathematical term for each of the two straight edges.
- 9.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 10.In one circle, chord PQ is 6 cm long, chord RS is 10 cm long, chord TU is 14 cm long and chord VW is 15 cm long. Write down which of these chords lies closest to the centre of the circle.
- 11.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 12.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 13.A trundle wheel has a diameter of 0.5 m. It is rolled along the ground and makes 20 complete turns. Using π = 3.14, work out the total distance rolled, in metres.
- 14.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 15.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
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