The circumference of a circular field is 308 m. Find its :
radius

Answer

To find the radius of a circular field given its circumference, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for circumference**:
The circumference (C) of a circle is given by the formula:
\[ C = 2 \pi r \]
where \( r \) is the radius and \( \pi \) is approximately \( \frac{22}{7} \) or \( 3.14 \).

2. **Substitute the given circumference**:
We are given that the circumference of the circular field is 308 m. Therefore, we can set up the equation:
\[ 2 \pi r = 308 \]

3. **Replace \( \pi \) with \( \frac{22}{7} \)**:
Substitute \( \pi \) in the equation:
\[ 2 \times \frac{22}{7} \times r = 308 \]

4. **Simplify the equation**:
Multiply \( 2 \) and \( \frac{22}{7} \):
\[ \frac{44}{7} r = 308 \]

5. **Isolate \( r \)**:
To find \( r \), multiply both sides by \( \frac{7}{44} \):
\[ r = 308 \times \frac{7}{44} \]

6. **Calculate the right side**:
First, simplify \( 308 \div 44 \):
\[ 308 \div 44 = 7 \]
Now, multiply by \( 7 \):
\[ r = 7 \times 7 = 49 \]

7. **State the final answer**:
Therefore, the radius of the circular field is:
\[ r = 49 \text{ m} \]