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?

Analyze the question: The man runs around a circular track. We need the number of laps needed to cover 1000 m, given the track's diameter is 100 m.

Concept: One lap is the circumference of the circle:

C = πd

Number of laps = total distance ÷ circumference

Solution:

1. Circumference = π × 100 = 100π ≈ 314.16 m (using π = 3.142)
2. Number of laps = 1000 ÷ 314.16 ≈ 3.18
3. To the nearest whole number, 3.18 ≈ 3

Check with π = 22/7: C = 2200/7 ≈ 314.29 m, and 1000 ÷ 314.29 ≈ 3.18, which again rounds to 3.

Answer: The man will run about 3 times round the track.

Tip: Whenever a question involves "laps" or "times round a circle," find the circumference first (C = πd or 2πr), then divide the total distance by it. Watch out for diameter versus radius. If you wrongly used the radius of 50 m as the diameter, you'd get about 6.4 laps, which is a trap option (D).