Question

A circle is represented by the equation x2+y2−16x−6y=−24
. Complete the square to discover the center and radius of the circle.(1 point)

center= (16,6)
, radius=8

center= (−16,−6)
, radius=8

center= (8,3)
, radius=7

center= (3,8)
, radius=7

Answer 1

Complete the square:

x^2 − 16x + y^2 − 6y = −24
(x − 8)^2 − 64 + (y − 3)^2 − 9 = −24
(x − 8)^2 + (y − 3)^2 = 49

So the center is (8, 3) and the radius is 7.