In making 1000 revolutioins, a wheel covers 88 km. The diameter of the wheel is

Options

A. 14m
B. 24m
C. 28m
D. 40m

Explanation

To find the diameter of the wheel given that it covers 88 km in 1000 revolutions, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the distance covered in one revolution:**
\[ \text{Distance in one revolution} = \frac{\text{Total distance}}{\text{Number of revolutions}} = \frac{88 \text{ km}}{1000} = 0.088 \text{ km} \]

2. **Convert the distance from kilometers to meters:**
\[ 0.088 \text{ km} = 0.088 \times 1000 \text{ m} = 88 \text{ m} \]

3. **Relate the distance covered in one revolution to the circumference of the wheel:**
The distance covered in one revolution is equal to the circumference of the wheel.
\[ C = 88 \text{ m} \]

4. **Use the formula for the circumference of a circle:**
The circumference \( C \) is given by the formula:
\[ C = 2\pi r \]
where \( r \) is the radius. We can substitute the value of \( C \):
\[ 88 = 2\pi r \]

5. **Solve for the radius \( r \):**
\[ r = \frac{88}{2\pi} = \frac{88}{2 \times \frac{22}{7}} = \frac{88 \times 7}{44} = 14 \text{ m} \]

6. **Calculate the diameter \( d \) of the wheel:**
The diameter \( d \) is twice the radius:
\[ d = 2r = 2 \times 14 = 28 \text{ m} \]

### Final Answer:
The diameter of the wheel is **28 meters**.