This worksheet introduces circles, teaching students how π relates a circle's radius and diameter to its circumference and area. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- The diameter of a circle is twice its radius: d = 2r.
- π (pi) is the fixed ratio of a circle's circumference to its diameter — for every circle, C ÷ d = π ≈ 3.14.
- Circumference: C = 2πr (or C = πd).
- Area: A = πr².
- π is irrational, so in this worksheet we use the approximation π ≈ 3.14, giving rounded answers.
What your child will practise:
- Converting between radius and diameter (halve or double).
- Substituting the radius or diameter into C = 2πr or C = πd to find circumference, using π ≈ 3.14.
- Substituting the radius into A = πr² to find area, using π ≈ 3.14.
- Rearranging the circumference or area formula to find a missing radius or diameter.
- Rounding circle calculations to the accuracy stated in the question.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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