1 Answer

Paulo Bueno · Answer 1 · 2023-08-26T08:31:30+0000

The area of a circumference can be calculated with this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

The area of a circle can be found with this formula:

$A=\pi r^2$

Where "r" is the radius of the circle.

If you solve for "r" from the formula of a circumference, you get:

$r=(C)/(2\pi)$

Knowing that:

$\begin{gathered} C=62.8in \\ \pi\approx3.14 \end{gathered}$

You get:

$\begin{gathered} r=(62.8in)/((2)(3.14)) \\ \\ r=10in \end{gathered}$

Knowing the radius, you can find the area of the circle:

$\begin{gathered} A=(3.14)(10in)^2 \\ A=314in^2 \end{gathered}$

The answer is:

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