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 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 centre O. Radii OA and OB are drawn, together with the arc AB, enclosing a sector. The straight chord AB is also drawn. Write down the name of the region enclosed between the chord AB and the arc AB.
- 3.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 4.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?
- 5.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 6.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 7.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 8.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.
- 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.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.
- 11.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.
- 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.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.
- 15.A circle has a radius of 3 cm. Work out the diameter of the circle.
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