Question

circle o is represented by the equation ((x + 7)^2 + (y + 7)^2 = 16). what is the length of the radius of circle o?
a. 3
b. 4
c. 7
d. 9
e. 16

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: $(x+7)^2+(y+7)^2=16$. Here, $r^2=16$.

Step3: Solve for radius $r$

Calculate $r=\sqrt{16}=4$

Answer:

B. 4