Answer:
36 inches.
Step-by-step explanation:
We have been given that the circumference of the circular table on Beverly’s porch is [tex]72\pi[/tex] inches. We are asked to find the radius of the table.
We will use circumference of circle formula to find radius of the table.
[tex]\text{Circumference of circle}=2\pi r[/tex]
[tex]72\pi=2\pi*r[/tex]
Switch sides:
[tex]2\pi*r=72\pi[/tex]
Now, we will divide both sides of our equation by [tex]2\pi[/tex]
[tex]\frac{2\pi*r}{2\pi}=\frac{72\pi}{2\pi}[/tex]
[tex]r=36[/tex]
Therefore, the radius of the circular table is 36 inches.
