Question Is the given point interior, exterior, or on the circle (x 2)2 (y – 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.

From the equation we see that the center of the circle is at (-2,3) and the radius is 9. So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle… d^2=(8–2)^2+(4-3)^2 and d^2=r^2=81 so 81=10^2+1^2 81=101 which is not true… So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle. Thus the point lies outside or on the exterior of the circle… To learn about circle from the given link https://brainly.com/question/2166803 #SPJ4 Reply

radius is 9.distance formulawe can see if the distance from the center to the point (8,4) is 9 units from thecenter of the circle…d^2=(8–2)^2+(4-3)^2andd^2=r^2=81so81=10^2+1^281=101which is not true…(8,4)is√101≈10.05units away from the center, which isgreater than the radiusof the circle.point lies outsideor on the exterior of the circle…