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 straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 3.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 4.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.
- 5.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 6.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.
- 7.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?
- 8.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.
- 9.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.
- 10.A circle has centre O. Radii OA and OB are drawn, together with the arc AB, enclosing a sector. The straight chord AB is also drawn. Write down the name of the region enclosed between the chord AB and the arc AB.
- 11.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?
- 12.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.
- 13.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 15.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
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