The problem asks how many times a man needs to run around a circular track of diameter 100m to cover a distance of 1000m. We need to find the number of laps, rounded to the nearest whole number.

1. Problem Description

The problem asks how many times a man needs to run around a circular track of diameter 100m to cover a distance of 1000m. We need to find the number of laps, rounded to the nearest whole number.

2. Solution Steps

First, we need to find the circumference of the circular track. The formula for the circumference $C$ of a circle with diameter $d$ is:

$C = \pi d$

In this case, the diameter $d = 100$ meters. Therefore, the circumference is:

$C = \pi \times 100 = 100\pi$ meters.

Next, we need to find how many times the man has to run around the track to cover a total distance of 1000 meters. To do this, we divide the total distance by the circumference of the track:

Number of laps $= \frac{\text{Total distance}}{\text{Circumference}} = \frac{1000}{100\pi} = \frac{10}{\pi}$

Using the approximation $\pi \approx 3.14159$, we get:

Number of laps $\approx \frac{10}{3.14159} \approx 3.183$

Finally, we round the number of laps to the nearest whole number:

$3.183 \approx 3$

3. Final Answer

The man needs to run around the track approximately 3 times.

Final Answer: A. 3