Answer:
d = 20 ft
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
given A = 314 , then
πr² = 314 , that is
3.14r² = 314 ( divide both sides by 3.14 )
r² = [tex]\frac{314}{3.14}[/tex] = 100 ( take square root of both sides )
r = [tex]\sqrt{100}[/tex] = 10
then
diameter d = 2r = 2 × 10 = 20 feet