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 circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 2.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.
- 3.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 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 diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 6.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 7.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.
- 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 centre O. Radii OA and OB are drawn, together with the arc AB, enclosing a sector. The straight chord AB is also drawn. Write down the name of the region enclosed between the chord AB and the arc AB.
- 10.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?
- 11.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.
- 12.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.
- 13.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 14.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 15.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.
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