Question

multiple choice
identify the choice that best completes the statement or answers the question.
give the coordinates of the circles center and its radius.

select one:
a. (1, 1); r = 16
b. (0, 0); r = 16
c. none of these
d. (0, 0); r = 4
e (1, 1); r = 4
check

Explanation:

Step1: Recall the standard form of a circle's equation

The standard form of a circle's equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Rewrite the given equation \(x^{2}+y^{2}-16 = 0\)

We can rewrite \(x^{2}+y^{2}-16 = 0\) as \(x^{2}+y^{2}=16\), which is equivalent to \((x - 0)^2+(y - 0)^2 = 4^2\)

Answer:

D. \((0,0);r = 4\)