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

, where the constant represents square miles.

a) Find the intercepts of the graph.
b) State the radius in miles.
c) What is the area of the region in which the broadcast from the station can be picked up?

Please explain how you got your answer! I'd really appreciate it!!

1)

2)

3)

Step-by-step explanation:

The general equation of a circle has the form:

Where r is the radius of the circumference.

In this problem we have the circle with equation

1) The intercepts with the x-axis we find them doing y = 0 and solving for x:

The intercepts with the y-axis we find them doing x = 0 and solving for y:

The 4 interceptions are:

2) The radius is:

3) The area of a circumference is: