The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is -----

Options

A. 99 metres
B. 198 metres
C. 63 metres
D. 136 metres

Answer

To find the distance traveled by the wheel in 100 revolutions, we first need to calculate the circumference of the wheel. The circumference can be calculated using the formula:

**Circumference (C) = π × d**

where **d** is the diameter of the wheel.

### Step-by-Step Solution:

1. **Identify the diameter of the wheel**:
- Given diameter (d) = 63 cm.

2. **Calculate the radius of the wheel**:
- Radius (r) = Diameter / 2 = 63 cm / 2 = 31.5 cm.

3. **Calculate the circumference of the wheel**:
- Using the formula for circumference:
\[ C = π × d = π × 63 \text{ cm} \]
- Approximate π as 3.14 for calculations:
\[ C ≈ 3.14 × 63 = 197.82 \text{ cm} \]

4. **Calculate the distance traveled in 100 revolutions**:
- Distance traveled = Circumference × Number of revolutions
- Distance = 197.82 cm × 100 = 19782 cm.

5. **Convert the distance from centimeters to meters**:
- Since 100 cm = 1 m, we convert:
\[ 19782 \text{ cm} = 19782 / 100 = 197.82 \text{ m} \]

### Final Answer:
The distance traveled by the wheel in 100 revolutions is approximately **197.82 meters**.