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.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 2.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.
- 3.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 4.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 5.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?
- 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 chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 8.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 9.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 10.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 11.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.
- 12.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.
- 13.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 14.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 15.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.
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