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How many times, correct to the nearest whole number, will a man run round circular...

Mathematics
WAEC 2010

How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
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Correct Answer: Option A
Explanation
No. of times = \(\frac{\text{Total distance}}{\text{Circumference of circle}}\)

= \(\frac{\text{Total distance}}{\pi d}\)

= \(\frac{1000m}{\frac{22}{7} \times 100m}\)

= \(\frac{1000 \times 7}{2200} = 3.187\)

= 3(approx.) nearest whole no.

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