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 circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.
- 2.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 3.Write down the term for the distance all the way around the edge of a circle.
- 4.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 5.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.
- 6.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.
- 7.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.
- 8.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 9.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.
- 10.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.
- 11.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?
- 12.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 13.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 15.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
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