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 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.
- 2.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 3.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?
- 4.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.
- 5.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 6.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 7.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.
- 8.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 9.Write down the term for the distance all the way around the edge of a circle.
- 10.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 11.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.
- 12.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.
- 13.A line segment joins two points on the circumference of a circle, without necessarily passing through the centre. Write down the general term for this line segment.
- 14.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 15.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.
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