Question

select the correct answer. circle f is represented by the equation $(x + 6)^2 + (y + 8)^2 = 9$. what is the length of the radius of circle f? a. 3 b. 9 c. 10 d. 81

Explanation:

Step1: Recall circle standard form

The standard equation of a circle is $(x-h)^2 + (y-k)^2 = r^2$, where $r$ is the radius.

Step2: Match given equation to standard form

Given equation: $(x + 6)^2 + (y + 8)^2 = 9$. Here, $r^2 = 9$.

Step3: Solve for radius $r$

Calculate the square root of 9: $r = \sqrt{9} = 3$

Answer:

A. 3