Respuesta :

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2

Where the center point of the circle is (h,k) and r is the radius.

In the given equation 16 = r^2

To find r take the square root of both sides:

r = √16

r = 4

The answer is A.

Answer: OPTION A.

Step-by-step explanation:

The equation of a circle in center-radius form  is:

[tex](x - h)^2 + (y- k)^2 = r^2[/tex]

Where the center is at the point (h,k) and "r" is the radius.

Then, given the equation of the circle:

[tex](x - 3)^2 + (y + 1)^2 = 16[/tex]

You can idenfity that:

[tex]r^2=16[/tex]

Therefore, in order to find the radius, you need to solve for "r".

Then, this is:

[tex]r=\sqrt{16}\\\\r=4[/tex]