Help your students prepare for their Maths GCSE with this free area and circumference of a circle worksheet of 45 questions and answers
The formula for the circumference of a circle is equal to pi times D, where D is the diameter of the circle. If the diameter is given we just multiply it by π to find the circumference of the circle. If the radius is given we need to multiply it by 2 to find the diameter of the circle, then proceed as above.
The formula for the area of a circle is equal to πr², where r is the radius of the circle. If the radius is given, we need to square it and multiply it by π to find the area of the circle. If the diameter of a circle is given instead of its radius, we need to divide the diameter by 2 to find the radius, then proceed as above. If the area of a circle is given, students may be asked to work backwards to find the length of the radius. Here, we need to divide by and find the square root.
Students may sometimes be asked to leave their answer in terms of pi; if this is not the case they will need to round the decimal answer to a given number of decimal places or significant figures. Converting between metric units is also important.
This topic can be extended further to the area of a semicircle and the area of other fractions of a circle. We can also use the circumference formula to calculate an arc length. Word problems may also require students to apply knowledge of compound shapes.
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