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 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.
- 2.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.
- 3.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?
- 4.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 5.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 6.A circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.
- 7.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 8.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 9.Write down the term for the distance all the way around the edge of a circle.
- 10.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 11.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.
- 12.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 13.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.
- 14.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?
- 15.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.
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