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 is drawn on a page. Write down how many radii can be drawn in the circle.
- 3.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.
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 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.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.
- 7.A circle has centre O. PQ, RS and TU are three chords of the circle, and only one of them passes through O. Write down what this tells you about that chord.
- 8.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 9.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 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.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 12.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 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.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 15.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
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