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.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 3.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 4.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.
- 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 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.
- 7.Write down the term for the distance all the way around the edge of a circle.
- 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 circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 10.A circular table mat has diameter 20 cm. Yasmin has a 70 cm length of ribbon and sews it around the edge of the mat with no overlap. Using π = 3.14, work out how much ribbon is left over after going around the mat once.
- 11.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 12.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 13.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.
- 14.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.
- 15.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
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