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 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.
- 2.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 3.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 4.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 5.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 6.Write down the term for the distance all the way around the edge of a circle.
- 7.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.
- 8.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.
- 9.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 10.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?
- 11.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 12.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.
- 13.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 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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