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 diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 2.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 3.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 4.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.
- 5.A tangent to a circle with centre O touches the circle at point P, where OP = 5 cm. Point Q lies on the tangent so that PQ = 12 cm. Using the fact that a tangent is perpendicular to the radius at the point of contact, work out the length OQ.
- 6.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.
- 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 has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 9.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.
- 10.Write down the term for the distance all the way around the edge of a circle.
- 11.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.
- 12.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 13.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 14.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 15.A circle has a radius of 3 cm. Work out the diameter of the circle.
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