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 diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 2.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.
- 3.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 5.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.
- 6.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.
- 7.A line segment joins two points on the circumference of a circle, without necessarily passing through the centre. Write down the general term for this line segment.
- 8.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 9.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.
- 10.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 11.A circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.
- 12.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 13.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 14.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 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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