A drone has an effective range represented by a circle on a coordinate plane. The points open paren negative 12 comma 3 close paren and open paren negative 6 comma negative 5 close paren are endpoints of a diameter of this boundary. Which equation represents the effective range boundary for the drone?

The circle’s center is the midpoint of the diameter’s endpoints: ((−12 + −6)/2, (3 + −5)/2) = (−9, −1). The distance between the endpoints is √(6² + 8²) = 10, so the radius is 5. A circle centered at (−9, −1) with radius 5 has equation (x + 9)² + (y + 1)² = 25, which is choice B.

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