Answer:
exterior
Step-by-step explanation:
You want to know if (3, 2) is an interior or exterior point of the circle defined by (x -5)² +(y +3)² = 25.
Distance from center
We can find the square of the distance of the point from the center of the circle using the equation for the circle.
(x -5)² +(y +3)² = r²
(3 -5)² +(2 +3)² = 4 +25 = 29 > 25 . . . . use (x, y) = (3, 2) in the equation
The point is farther away from the center than points that are on the circle. The point (3, 2) is an exterior point.
