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.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.
- 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.Write down the term for the distance all the way around the edge of a circle.
- 4.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 5.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 6.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 7.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.
- 8.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 9.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 10.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 11.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 12.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 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 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.
- 15.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.
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