A radio station has a broadcast area in the shape of a circle with the equation x^2+y^2=5,625 where the constant represents square miles.

a. Find the intercepts of the graph and state the radius in miles.

b. what is the area of the region in which the broadcast station can be picked up?

The equation of the circle is:

x^2 + y^2 = r^2

x^2 + y^2 = 75^2

a. Find the intercepts of the graph and state the radius in miles.

y-intercept (set x = 0)

y^2 = 75^2

y = square root (75^2)

y = 75

(0,75)

x-intercept (set y = 0)

x^2 = 75^2

x = square root (75^2)

x = 75

(75,0)

Radius is equal to 75 miles.

b. what is the area of the region in which the broadcast station can be picked up?

Area of a circle is equal to

Area = pi * r^2

Area = pi * 75^2

Area = 17671.46 square miles.