1 Answer

Michael Moulsdale · Answer 1 · 2023-05-24T06:26:45+0000

The area of a circle can be calculated using this formula:

$A=\pi r^2$

Where "r" is the radius of the circle.

The circumference of a circle can be found using this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

In this case you know that the area of this circle is:

$A\approx167.3306in^2$

Then, you can substitute this value into the first formula and solve for "r". Use:

$\pi=3.14$

Then:

$\begin{gathered} (167.3306in^2)=(3.14)r^2 \\ \\ ((167.3306in^2))/(3.14)=r^2 \\ \\ r=\sqrt[]{((167.3306in^2)/(3.14))} \\ \\ r=7.3in \end{gathered}$

Now you can substitute this value into the formula for calculate the circumference of a circle:

$\begin{gathered} C=(2)(3.14)(7.3in) \\ \end{gathered}$

Finally, evaluating, you get:

The answer is:

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