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.
Non-calculator
Circle definitions and parts of a circle worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.Write down the term for the distance all the way around the edge of a circle.
- 3.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.
- 4.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 5.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.
- 6.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 7.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 8.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 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 chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 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 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?
- 13.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 14.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.
- 15.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
Build your own mix at the worksheet builder.