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Geometry and TrigonometryEasy–MediumTurns of a bicycle wheel over a distance

Geometry and Trigonometry practice question

A bicycle wheel has a radius of 0.35 metres. About how many complete turns does it make in travelling 220 metres? (Use π ≈ 3.14.)

Answer: 100

One turn covers the circumference: 2 × 3.14 × 0.35 ≈ 2.2 m. Turns: 220 ÷ 2.2 = 100.

Common wrong answers

If you answered 50
50 uses a circumference of 4.4 (using the diameter as the radius).
If you answered 200
200 uses the radius as the circumference's… half; 220 ÷ 1.1.
If you answered 629
629 divides 220 by 0.35, ignoring π.

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