Anita runs around a circular field of radius 50 metres. How much distance did she cover in 3 complete rounds? [Use `pi` = 3.14]

Options

A. 6600 m
B. 942 m
C. 150 m
D. 1043 m

Answer

To find the distance Anita covers in 3 complete rounds around a circular field with a radius of 50 meters, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the radius of the circular field**:
- Given radius \( r = 50 \) meters.

2. **Use the formula for the circumference of a circle**:
- The formula for the circumference \( C \) of a circle is given by:
\[ C = 2 \pi r \]
- Here, \( \pi \) is approximately 3.14.

3. **Substitute the values into the formula**:
- Substitute \( r = 50 \) meters and \( \pi = 3.14 \) into the formula:
\[ C = 2 \times 3.14 \times 50 \]

4. **Calculate the circumference**:
- First, calculate \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
- Now multiply by the radius:
\[ C = 6.28 \times 50 = 314 \text{ meters} \]

5. **Calculate the distance for 3 complete rounds**:
- To find the distance covered in 3 rounds, multiply the circumference by 3:
\[ \text{Distance} = 3 \times C = 3 \times 314 \]
- Now calculate:
\[ 3 \times 314 = 942 \text{ meters} \]

6. **Final Result**:
- Therefore, the distance Anita covers in 3 complete rounds is:
\[ \text{Distance} = 942 \text{ meters} \]