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 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.
- 2.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.
- 3.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.
- 4.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 5.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 6.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 7.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 8.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 9.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 10.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 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 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.
- 13.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.
- 14.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 15.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
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