Answer:
The circumference is equal to 62.8 inches.
Step-by-step explanation:
To find the circumference we need to know the radius or the diameter.
In order to find the radius, we need to know that the area of a circle is equal to π[tex]r^{2}[/tex] (where r is the radius of the circle). Now we can find the radius by using this equation...
100π [tex]in^{2}[/tex]= π[tex]r^{2}[/tex] [tex]in^{2}[/tex]
Now we get...
100 [tex]in^{2}[/tex] = [tex]r^{2} in^{2}[/tex]
r in = 10 in
Therefore, the radius is equal to 10 inches. Now we can find the circumference by using the following formula...
Circumference = 2πr
Now we just sub in the values and get...
Circumference = 2πr = 2(3.14)(10) = 2(31.4) = 62.8
Now we knot that the circumference is equal to 62.8 inches.
