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]