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How many times, correct to the nearest whole number, will...

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

A.

3

B.

4

C.

5

D.

6

Correct answer is A

In terms of distance, a circle has a total distance or perimeter of 2πr or πd

  Where r is radius and d is the diameter

  So perimeter = \(\frac{22}{7}\) x 100

  = 314.2857m

  To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18

\(\approxeq\) 3 (to the nearest whole number)