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 is drawn on a page. Write down how many radii can be drawn in the circle.
- 2.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.
- 3.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?
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 5.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 6.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 7.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 8.Write down the term for the distance all the way around the edge of a circle.
- 9.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?
- 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 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.
- 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 sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 14.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 15.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.
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