Question

Write the equation of a circle in center-radius form with center at

(-5,3), passing through the point (-1,7).

Answer 1

Explanation:

First, find the distance from the center point to -1,7 ....this is the radius

d = sqrt ( 4^2 + 4^2 ) = sqrt 32 then r^2 = 32

then put the circle in standard form (x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) = (-5,3)

( x+5)^2 + (y-3)^2 = 32