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 circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 2.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 3.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.
- 4.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.
- 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 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.
- 7.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.
- 8.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.
- 9.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 10.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 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 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 diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.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.
- 15.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
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