STEP - BY - STEP EXPLANATION
What to find?
The center and radius of each circle.
Given:
Step 1
State the general circle formula.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h, k) is the center of the circle and r is the radius of the circle.
Step 2
Compare each equation to determine its center and radius.
[tex]A.(x-4)^2+(y+3)^2=16[/tex]
The center is (4, -3) and radius = 3
[tex]B.(x-4)^2+(y-3)^2=16[/tex]
The center is (4, 3) and radius is 4
[tex]C.(x+4)^2+(y+3)^2=16[/tex]
The center is (-4, -3) and radius = 4
[tex]D.(x+4)^2+(y-3)^2=16[/tex]
The center is ( -4, 3) and radius (r)=4
ANSWER
A. Center (4, -3) and r=4
B. Center (4, 3) and r=4
C. Center (-4, -3) and r=4
D. Center (-4, 3) and r=4
