Respuesta :

Answer: 615.44 cm^2

Step-by-step explanation:

Formula for the area of a circle is: [tex]A=\pi r^2[/tex]

We need to find the radius using our circumference formula and solving for r;

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

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

[tex]r=\frac{87.92}{2(3.14)} \\r=14cm[/tex]

Now that we've found the radius, replace it into the formula for the area.

[tex]A=\pi r^2\\A= (3.14)(14)^2\\A=615.44cm^2[/tex]