If the ara of a circular field is 1386 sw. m , find its radius.

Answer

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

### Step 1: Write down the formula for the area of a circle.
The area \( A \) of a circle is given by the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle.

### Step 2: Substitute the given area into the formula.
We know the area of the circular field is 1386 square meters. So we can set up the equation:
\[ \pi r^2 = 1386 \]

### Step 3: Solve for \( r^2 \).
To isolate \( r^2 \), we divide both sides of the equation by \( \pi \):
\[ r^2 = \frac{1386}{\pi} \]
Using \( \pi \approx 3.14 \) for calculation, we can substitute:
\[ r^2 = \frac{1386}{3.14} \approx 441 \]

### Step 4: Calculate \( r \) by taking the square root.
Now, we take the square root of both sides to find \( r \):
\[ r = \sqrt{441} = 21 \text{ m} \]

### Conclusion:
The radius of the circular field is \( 21 \) meters.

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