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.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.
- 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.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 4.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.
- 5.Write down the term for the distance all the way around the edge of a circle.
- 6.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 7.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 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.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 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 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.
- 12.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.
- 13.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.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.
- 15.A circle has a radius of 3 cm. Work out the diameter of the circle.
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