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.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.
- 2.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 3.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.
- 4.Write down the term for the distance all the way around the edge of a circle.
- 5.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 6.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.
- 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 is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 9.A circle has a diameter of 4 cm. 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 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.
- 12.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
- 13.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.
- 14.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?
- 15.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
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