Question

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 1

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