okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.​

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5