A wheel covers a distance of 1,100 cm in one round. The radius of the wheel is :

Options

A. 100 cm
B. 175 cm
C. 125 cm
D. 150 cm

Answer

To find the radius of the wheel that covers a distance of 1,100 cm in one round, we can use the formula for the circumference of a circle. The circumference (C) of a circle is given by the formula:

\[ C = 2 \pi r \]

where \( r \) is the radius of the circle.

### Step-by-Step Solution:

1. **Identify the circumference**: From the problem, we know that the wheel covers a distance of 1,100 cm in one complete round. Therefore, we can set the circumference \( C \) equal to 1,100 cm.

\[ C = 1100 \, \text{cm} \]

2. **Set up the equation**: We can substitute the value of the circumference into the circumference formula.

\[ 1100 = 2 \pi r \]

3. **Solve for the radius \( r \)**: To find the radius, we need to isolate \( r \) in the equation. We can do this by dividing both sides of the equation by \( 2 \pi \).

\[ r = \frac{1100}{2 \pi} \]

4. **Calculate the value of \( r \)**: Now, we can calculate the value of \( r \) using the approximate value of \( \pi \) (which is about 3.14).

\[ r = \frac{1100}{2 \times 3.14} \]
\[ r = \frac{1100}{6.28} \]
\[ r \approx 175.5 \, \text{cm} \]

### Final Answer:
The radius of the wheel is approximately \( 175.5 \, \text{cm} \).

---