Help your students prepare for their Maths GCSE with this free circumference of a circle worksheet of 30 + questions and answers
The circumference of a circle is the distance around the outside of the circle, similar to the perimeter of a polygon. The circumference of a circle can be found using either the formula C=πd where d is the diameter of the circle or the formula C=2πr where r is the radius of the circle.
For example, the diameter of a circle is 10cm. The radius of the circle is therefore 5cm. We can calculate the circumference of the circle using C=π*10 or C=2*π*5. Both give the circumference of this circle as C=31.141592654…cm.
Since both of these formulae use π, which is an irrational number (cannot be written as a fraction), any calculation for the circumference will give a decimal answer. We may be asked to round the answer to the nearest integer, to a given number of decimal places or significant figures or to give an exact answer in terms of π.
We usually use metric units in maths and circumference is a measure of length so common units of measurement for the circumference of a circle are mm, cm or m.
Looking forward, students can then progress to additional circles, sectors and arcs worksheets and other geometry worksheets, for example an angles in polygons worksheet or area and circumference of a circle worksheet.
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