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.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 3.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 4.Write down the term for the distance all the way around the edge of a circle.
- 5.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 6.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.
- 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 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.
- 9.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 10.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 11.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 12.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.
- 13.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.
- 14.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 15.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.
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