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?

1. Analyze the question

We are given a circular track with a diameter of 100m. We need to find how many complete laps (runs round the track) a man must make to cover a total distance of 1000m.

2. Explain the concept

To solve this, we first need to find the distance covered in one single lap. The distance around a circle is its circumference. The formula for the circumference ($C$) of a circle is:

where:

• $\pi \approx 3.142$ (or $\frac{22}{7}$)
• $d = \text{diameter} = 100\text{m}$

Once we have the circumference, we divide the total distance (1000m) by the circumference to find the number of laps.

3. Show the solution

Step 1: Calculate the circumference of the track.

Step 2: Calculate the number of laps.

Step 3: Round to the nearest whole number. Since 3.183 is closer to 3 than to 4, rounding to the nearest whole number gives us 3.

4. Identify the answer

Comparing our result to the given options: A. 3 B. 4 C. 5 D. 6

The correct option is A.

5. Tip

When dealing with circular problems in JAMB, always remember that "distance round" is synonymous with "circumference." If you are ever unsure about the value of $\pi$, using 3.142 is usually sufficient for most calculations unless the question specifies otherwise. Keep calm and stay focused—you've got this!