Answer :

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

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle.

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

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

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

[tex]r=\frac{C}{2\pi}[/tex]

Knowing that:

[tex]\begin{gathered} C=62.8in \\ \pi\approx3.14 \end{gathered}[/tex]

You get:

[tex]\begin{gathered} r=\frac{62.8in}{(2)(3.14)} \\ \\ r=10in \end{gathered}[/tex]

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

[tex]\begin{gathered} A=(3.14)(10in)^2 \\ A=314in^2 \end{gathered}[/tex]

The answer is:

[tex]A=314in^2[/tex]

Thank you for reading the article Find the area of a circle with a circumference of 62 8 inches Use 3 14 for pi. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany