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 a diameter of 4 cm. Work out the radius of the circle.
- 2.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.
- 3.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 4.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.
- 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 straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 7.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 8.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.
- 9.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.
- 10.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?
- 11.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 12.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one 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 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.
- 15.Every diameter of a circle is an example of a more general type of straight line joining two points on the circle. Which term names that more general type of line?
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