Question

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?

A.)C(-1, -2)

B.)D(-6, 3)

C.)E(-3, -3)

D.)F(-2, 6)

Answer 1

the general equation of a circle is
(x - a)^2 + (y - b)^2 = r^2

where (a,b) is the center and r = radius

Answer 2

so if the center is at (-3,2) we have

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

Now we are given a points on the circle, (1,3)

so if you plug these into the above you can find r^2

Answer 3

can you do that?

Answer 4

?