Question

select the correct answer. 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 equation formula

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: Compare with given equation

Given equation: \((x + 7)^2 + (y + 7)^2 = 16\). Here, \(r^2 = 16\).

Step3: Solve for radius \(r\)

Take the square root of both sides: \(r = \sqrt{16} = 4\).

Answer:

B. 4