Question

area of a circle find radius

Answer 1

To find the radius of a circle when you know its area, you can use the formula for the area of a circle:

\[
A = \pi r^2
\]

Where:
- \( A \) is the area of the circle.
- \( r \) is the radius.
- \( \pi \) (pi) is approximately 3.14159.

To solve for the radius \( r \), you can rearrange the formula:

\[
r^2 = \frac{A}{\pi}
\]

Then take the square root of both sides:

\[
r = \sqrt{\frac{A}{\pi}}
\]

### Example
If the area \( A \) of the circle is 50 square units, you can find the radius as follows:

\[
r = \sqrt{\frac{50}{\pi}} \approx \sqrt{\frac{50}{3.14159}} \approx \sqrt{15.9155} \approx 3.98 \text{ units}
\]

So, the radius of the circle with an area of 50 square units is approximately 3.98 units.