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 chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 2.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?
- 3.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.
- 4.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 5.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 6.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 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 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.
- 9.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 10.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 11.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 12.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 13.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.
- 14.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.
- 15.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.
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