Answer: 5 inches
Step-by-step explanation:
1. To solve this problem you must use the formula for calculate the area of a circle, which is shown below:
[tex]A=3.14r^{2}[/tex]
Where [tex]r[/tex] is the radius of the circle.
2. You know the area of the circle, therefore, you can solve for the radius, as following:
[tex]r^{2}=\frac{A}{3.14}\\r=\sqrt{\frac{A}{3.14}}[/tex]
3. When you must substitute the value of the area into the equation above, you obtain the following result:
[tex]r=\sqrt{\frac{78.5in^{2} }{3.14}}\\r=5in[/tex]
