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 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.
- 2.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 3.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 4.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 5.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.
- 6.In one circle, chord PQ is 6 cm long, chord RS is 10 cm long, chord TU is 14 cm long and chord VW is 15 cm long. Write down which of these chords lies closest to the centre of the circle.
- 7.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.
- 8.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.
- 9.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 10.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 11.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 12.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 13.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 14.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.
- 15.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?
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