The circumference of the circle is 75.37 mi.
Solution:
Area of the circle = 452.4 mi²
The value of π = 3.14
Let us first find the radius of the circle.
Area of the circle formula = [tex]\pi r^2[/tex] sq. units
[tex]\pi r^2=452.4[/tex]
[tex]3.14 \times r^2=452.4[/tex]
Divide by 3.14 on both sides of the equation, we get
r² = 144.07
Taking square root on both sides of the equation.
r = 12.003 mi
Circumference of the circle = 2πr
= 2 × 3.14 × 12.003
= 75.37884
= 75.37 mi
Hence the circumference of the circle is 75.37 mi.
