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 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.
- 2.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.
- 3.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 5.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 6.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 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.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 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.
- 10.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 11.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 12.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.
- 13.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.
- 14.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 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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