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A wheel makes 500 revolutions in covering a distance of 22 km. Find its diameter.

A. 8 m
B. 14 m
C. 16 m
D. 32 m
Correct Answer: B. 14 m

Correct answer: 14 m. Circumference = 22,000 m ÷ 500 = 44 m, and diameter = 44 × 7 ÷ 22 = 14 m.

Background: The distance covered in one revolution is the wheel’s circumference, so circumference = total distance ÷ number of revolutions.

  • 8 m: 8 m does not match the circumference of 44 m.
  • 16 m: 16 m does not match the circumference of 44 m.
  • 32 m: 32 m does not match the circumference of 44 m.

Did you know? The value 22/7 is a convenient approximation of π (3.14159…).

Memory trick: Distance ÷ revolutions = circumference; diameter = circumference × 7/22.

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