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 is drawn on a page. Write down how many radii can be drawn in the circle.
- 2.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?
- 3.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.
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 5.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 6.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.
- 7.A trundle wheel has a diameter of 0.5 m. It is rolled along the ground and makes 20 complete turns. Using π = 3.14, work out the total distance rolled, in metres.
- 8.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 9.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.
- 10.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 11.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.
- 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 diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 14.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.
- 15.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.
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