Question

A low-watt radio station can be heard only within a certain distance from the station. On the graph below, the circular region represents that part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?

Answer 1

Do you know the general equation for circles?

Answer 2

\[
(x-h)^2+(y-k)^2=r^2
\]Where \(r\) is the radius and \((h,k)\) is the center.

Answer 3

(x-h)^2 + (y-k)^2 = r^2 is the general equation of a circle where (h,k) is the center and r is the radius.

From the graph we can determine the center of the circle is at: (-5, -4) and the radius of the circle is 5.

Plug in the numbers.

Answer 4

Can you identify \((h,k)\) and \(r\) and plug them in?

Answer 5

@rigsby1667 Does it make sense?