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?
Question 1 Report
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?
Answer Details
The distance covered in one complete lap around a circular track of diameter 100m is equal to the circumference of the circle.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. The diameter of the circle is 100m, so the radius is half of that, which is 50m.
Thus, the circumference of the circle is C = 2π(50) = 100π m.
To cover a distance of 1000m, the man needs to run around the track 1000/100π = 10/π times.
To the nearest whole number, this is equal to 3. So the man will need to run around the track 3 times to cover a distance of 1000m.
Therefore, the answer is 3.
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