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A circle is centered at (−4, −6) and has a radius of 3. Which of the following is the equation for this circle?
A. (x + 4)2 + (y + 6)2 = 3
B. (x − 4)2 + (y − 6)2 = 9
C. (x − 4)2 + (y − 6)2 = 3
D. (x + 4)2 + (y + 6)2 = 9

Respuesta :

theandysanchez
if that is a square to the parenthesis then it would be D. the formula is (x-h)^2+(y-k)^2=r^2 
JeanaShupp

Answer: D. [tex](x + 4)^2+ (y + 6)^2 = 9[/tex]

Step-by-step explanation:

The standard equation of circle is given by :-

[tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.

Since it is given that a circle is centered at (−4, −6) and has a radius of 3.

Then, the equation for this circle will be

[tex](x-(-4))^2+(y-(-6))^2=3^2\\\\\Rightarrow\ (x + 4)^2+ (y + 6)^2 = 9[/tex]

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