Is the given point interior exterior or on the circle x 22 y - 32 81?

To determine if the point (22, -32) is interior, exterior, or on the circle defined by the equation (x^2 + y^2 = 81), we first calculate the distance from the point to the center of the circle, which is at the origin (0, 0). The distance is given by (d = \sqrt{22^2 + (-32)^2} = \sqrt{484 + 1024} = \sqrt{1508} \approx 38.8). Since the radius of the circle is 9 (since (81 = 9^2)), and (38.8) is greater than (9), the point (22, -32) is located outside the circle.