How many feet of monkey grass would you need to go around a circular flower bed if you know that the area is 36π

ft
2
?
Responses

A 6π feet6π feet

B 12π feet12π feet

C 18πfeet18πfeet

D 36π feet36π feet

E 144π feet

1 answer

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. Since the area of the flower bed is given as 36π ft^2, we can calculate the radius of the circle using the formula A = πr^2:

36π = πr^2
36 = r^2
r = 6 ft

Now, substitute the radius back into the circumference formula to find the length of monkey grass needed:

C = 2π(6)
C = 12π feet

Therefore, you would need 12π feet of monkey grass to go around the circular flower bed.

B 12π feet12π feet