Answer: The radius is 8 inches
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2=A[/tex]
Where
A is the area (200.96 for this)
[tex]\pi[/tex] is pi (we'll round it to 3.14 for this)
and r is the radius
Let's sub in our values and solve for r
[tex]3.14r^2=200.96[/tex]
Divide both sides by 3.14 to isolate [tex]r^2[/tex]
[tex]\frac{3.14r^2}{3.14} =\frac{200.96}{3.14} \\\\r^2=64[/tex]
Take the square root of both sides to cancel the square
[tex]r^2=64\\\sqrt{r^2} =\sqrt{64} \\r=8[/tex]
