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 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.
- 2.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.
- 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 diameter of 4 cm. Work out the radius of the circle.
- 5.Write down the term for the distance all the way around the edge of a circle.
- 6.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 7.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.
- 8.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 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 circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 11.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 12.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 13.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
- 14.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.
- 15.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
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