A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square miles.-Graph the equation and state the radius in miles.-What is the area of the region in which the broadcast from the station can be picked up?

Answer:r = 75 mi; A = 17 671 mi² Step-by-step explanation:(a) Graph The equation for a circle is x² + y² = r² Your equation is x² + y² = 5625 = 75² The graph is a circle with a radius of 75 mi. (b) Broadcast area A = πr² = π × 75² = π × 5625 ≈ 17 671 mi²