Question

A small messenger company can only deliver within a certain distance from their office. On the graph below, the circular region represents that part of the city to which the company delivers and the dot at the center of the circle represents the office. Which equation represents the boundary for the region where the company can deliver?

(x + 3)2 + (y – 3)2 = 49

(x + 1)2 + (y – 3)2 = 98

(x + 3)2 + (y – 3)2 = 98

(x + 3)2 + (y – 1)2 = 49

Answer 1

For this case what we must do is find the equation of the circle.
The standard equation of the circle is:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
xo, yo: coordinates of the center of the circle.
r: radius of the circle
Substituting values we have:
(x - (- 3)) ^ 2 + (y-1) ^ 2 = 7 ^ 2
Rewriting:
(x + 3) ^ 2 + (y-1) ^ 2 = 49
Answer:
An equation that represents the boundary for the region where the company can deliver is:
(x + 3) 2 + (y - 1) 2 = 49