A radio station has a broadcast area in the shape of a circle with equation x^2+y^2=5 625

Let us assume that the center of the circle is (0,0)

(x-h) ² + (y-k) ² = r²

x² + y² = 5,625

r² = 5,625

r = √5,625

r = 75

Area of a circle = π * r²

A = 3.14 * (75mi) ²

A = 3.14 * 5,625 mi²

A = 17,662.50 mi²