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.
Circle definitions and parts of a circle worksheet — GCSE Foundation
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- 1.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?
- 2.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.
- 3.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.
- 4.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 5.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 6.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 7.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 8.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 9.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 10.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 11.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 12.A circular table mat has diameter 20 cm. Yasmin has a 70 cm length of ribbon and sews it around the edge of the mat with no overlap. Using π = 3.14, work out how much ribbon is left over after going around the mat once.
- 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.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.
- 15.A tangent to a circle touches the circle at exactly one point, P. Work out the size of the angle between the tangent and the radius drawn to P.
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