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.
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Circle definitions and parts of a circle worksheet — GCSE Foundation
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- 1.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 2.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.
- 3.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.
- 4.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.
- 5.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.
- 6.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 7.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 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 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.
- 10.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.
- 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 sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 13.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.
- 14.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 15.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
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