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 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.
- 2.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.
- 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 diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 5.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.
- 6.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.
- 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 circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 9.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 10.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.
- 11.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 12.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.
- 13.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.
- 14.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 15.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
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