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.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.
- 2.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 3.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?
- 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.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.
- 6.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 7.A tangent to a circle touches the circle at exactly one point, P. Work out the size of the angle between the tangent and the radius drawn to P.
- 8.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 9.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius 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 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.
- 12.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 13.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.
- 14.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 15.Every diameter of a circle is an example of a more general type of straight line joining two points on the circle. Which term names that more general type of line?
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