A lowwattage radio station can be heard only within a certai

A low-wattage 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?

A.

(x – 6)2 + (y – 1)2 = 32

B.

(x + 6)2 + (y + 1)2 = 32

C.

(x – 6)2 + (y – 1)2 = 16

D.

(x + 6)2 + (y + 1)2 = 16

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Solution

In the given figure the coordinate of x and y axis will be (-6,-1) and r=4

Now the circle formula is

(x – h)² + (y – k)² = r²

Here (h,k) is equal to (-6,-1), So, our equation will be

{x - (-6)}² + {y - (-1)²} = (4)²

(x + 6)² + (y + 1)² = 16

So the correct answer is option D.