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 sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 2.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.
- 3.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.
- 4.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.
- 5.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.
- 6.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.
- 7.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.
- 8.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.
- 9.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 10.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 11.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 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 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.Write down the term for the distance all the way around the edge of a circle.
- 15.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
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