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Circles – practice for Years 8–9

Sample questions on Circles with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 8–9
Curriculum area
Geometry and measures

Question types: Circumference and area of a circle

Rule: Circles

Circumference: C = 2 × π × r (= π × d). Area of a circle: A = π × r².

If you are given the diameter d, first work out the radius: r = d ÷ 2.

Example: r = 7 cm: C = 2 × 3.14 × 7 = 43.96 cm

Watch out: Put the radius into A = π × r², not the diameter.

Sample questions

  1. Question 1 Easy

    Work out the circumference of a circle with diameter d = 16 cm. Use π ≈ 3.14.

    Show the solution
    Answer: 50.24 cm

    How it works: r = d ÷ 2 = 8 cm; C = 2 × π × r = 2 × 3.14 × 8 = 50.24 cm

  2. Question 2 Normal

    Work out the area of a circle with radius r = 11 cm. Use π ≈ 3.14.

    Show the solution
    Answer: 379.94 cm²

    How it works: A = π × r² = 3.14 × 121 = 379.94 cm²

  3. Question 3 Hard

    Work out the area of a circle with diameter d = 6 cm. Use π ≈ 3.14.

    Show the solution
    Answer: 28.26 cm²

    How it works: r = d ÷ 2 = 3 cm; A = π × r² = 3.14 × 9 = 28.26 cm²

Related topics

All Maths topics

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