Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 p (8,4)

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for

the center is (h,k) and the radius is r

and the distance formula is
distance between and is


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so




the radius is
center is (-2,3)

find distance between (8,4) and (-2,3)







≈4.2
≈10.04

do r<D

(8,4) is outside the circle