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 a diameter of 4 cm. Work out the radius of the circle.
- 2.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.
- 3.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.
- 4.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 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.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.
- 7.Write down the term for the distance all the way around the edge of a circle.
- 8.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 9.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 10.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.
- 11.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.
- 12.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 13.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?
- 14.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 15.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.
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