The radius of a circular wheel is 1.75m. The number of revolutions that it will make in covering 11km is
Explanation
To determine the number of revolutions a circular wheel will make in covering a distance, follow these steps:
1. Calculate the Circumference of the Wheel:
- The circumference \( C \) of a wheel is given by:
\[
C = 2 \pi r
\]
- For a wheel with a radius of \( 1.75 \) meters:
\[
C = 2 \pi \times 1.75 = 3.5 \pi
\]
- Using \( \pi \approx 3.14 \):
\[
C \approx 3.5 \times 3.14 = 10.99 \text{ meters}
\]
2. Convert the Distance to Meters:
- The distance to cover is \( 11 \text{ km} \):
\[
11 \text{ km} = 11,000 \text{ meters}
\]
3. Calculate the Number of Revolutions:
- The number of revolutions \( N \) is given by:
\[
N = \frac{\text{Distance}}{\text{Circumference}}
\]
- Substitute the values:
\[
N = \frac{11,000}{10.99} \approx 1,000
\]
The number of revolutions the wheel will make in covering 11 km is 1,000.
The correct answer is A. 1000.