The center of a circle represented by the equation (x + 9)2 + (y − 6)2 = 10^2 is?
8 Answers

This is the standard form for a circle given its center and radius. You really need to review the basics, because you should be able to see the answer, (9, 6), easily from that formula.

The center of a circle (x – a)^2 + (y – b)^2 = r^2 is (a,b). Compare to your equation.
The radius is r.

(x+9)² + (y6)² = 102
center (9, 6)
radius = √102

(9, 6)
x: 9, y: 6

C ( 9 , 6 )

(9, 6)

Exactly in the middle.

(x,y) = (9,6)