Question

A circle is centered at (−4, −6) and has a radius of 3. Which of the following is the equation for this circle?

Answer 1

Answer: D. $(x + 4)^2+ (y + 6)^2 = 9$

Step-by-step explanation:

The standard equation of circle is given by :-

$(x-h)^2+(y-k)^2=r^2$, 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

$(x-(-4))^2+(y-(-6))^2=3^2\\\\\Rightarrow\ (x + 4)^2+ (y + 6)^2 = 9$

Answer 2

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