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 circular table mat has diameter 20 cm. Yasmin has a 70 cm length of ribbon and sews it around the edge of the mat with no overlap. Using π = 3.14, work out how much ribbon is left over after going around the mat once.
- 2.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.
- 3.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 4.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 5.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.
- 6.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.
- 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 is drawn on a page. Write down how many radii can be drawn in the circle.
- 9.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 10.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 11.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.
- 12.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 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 circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 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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