Question

question 5 of 10 the equation of a circle centered at the origin is x² + y² = 16. what is the radius of the circle? a. 16 b. 4 c. 256 d. 8

Explanation:

Step1: Recall circle - equation formula

The standard equation of a circle centered at the origin \((0,0)\) is \(x^{2}+y^{2}=r^{2}\), where \(r\) is the radius of the circle.

Step2: Compare with given equation

Given \(x^{2}+y^{2}=16\), comparing with \(x^{2}+y^{2}=r^{2}\), we have \(r^{2}=16\).

Step3: Solve for \(r\)

Take the square - root of both sides of the equation \(r^{2}=16\). Since \(r>0\) (radius is a non - negative quantity), \(r = 4\).

Answer:

B. 4