9.11 Equations of Circles with Completing the Square

(x-3)² + (y+6)² = 25

(x+3)² + (y-6)² = 25

(x-3)² + (y+6)² = 45

(x+3)² + (y-6)² = 5

(h,k) is the center of the circle

(h,k) is a point on the circle.

(h,k) is a point that we guess and find

(h,k) is the distance of the circle

r is the distance of the circle

r is the radius of the circle

r is the x coordinate of the center of the circle

r is the y coordinate of the center of the circle

$$\left(-2,6\right)$$  

$$\left(2,7\right)$$  

$$\left(-2,-3\right)$$  

$$\left(2,3\right)$$  

(x+1)² + (y +1)² = 6

(x+1)² + (y -1)² = 3

(x+1)² + (y +1)² = 9

(x+1)² + (y +1)² = 3

A

B

C

D

$$\left(x-11\right)^2+\left(y+5\right)^2=25$$  

$$\left(x-5\right)^2+y^2=25$$  

$$x^2+\left(y-5\right)^2=36$$  

$$\left(x-5\right)^2+y^2=36$$