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.
Circle definitions and parts of a circle worksheet — GCSE Foundation
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- 1.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 2.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.
- 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 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.
- 5.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.
- 6.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.
- 7.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?
- 8.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.
- 9.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
- 10.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 11.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.
- 12.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 13.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.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.
- 15.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
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