Question

How do you calculate the radius of a circle when provided with the area? List the steps below in order.  (1 point)

Answer 1

To calculate the radius of a circle when provided with the area, follow these steps:

1. **Identify the Formula for Area**: Recall that the area \( A \) of a circle is given by the formula:
\[
A = \pi r^2
\]
where \( r \) is the radius.

2. **Rearrange the Formula**: To find the radius \( r \), rearrange the formula to solve for \( r \):
\[
r^2 = \frac{A}{\pi}
\]

3. **Take the Square Root**: Calculate the radius by taking the square root of both sides:
\[
r = \sqrt{\frac{A}{\pi}}
\]

4. **Substitute the Area**: Plug in the value of the area \( A \) into the formula:
\[
r = \sqrt{\frac{(value \, of \, A)}{\pi}}
\]

5. **Calculate the Result**: Compute the value using a calculator for the square root and the value of \( \pi \) (approximately 3.14159).

6. **Write the Final Answer**: Report the calculated value of the radius \( r \).

By following these steps, you can successfully calculate the radius of a circle given its area.