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.
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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 chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 3.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.
- 4.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 5.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 6.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.
- 7.Write down the term for the distance all the way around the edge of a circle.
- 8.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.
- 9.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.
- 10.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 11.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 12.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.
- 13.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 14.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 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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