Question

Find the area of the circle with a circumference of 62.8 inches. Use 3.14 for pi

Answer 1

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:

`A=314in^2`