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 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?
- 2.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 3.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 4.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 5.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 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 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.
- 8.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.
- 9.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.
- 10.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.
- 11.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 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.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.
- 14.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.
- 15.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.
Build your own mix at the worksheet builder.