Question

the equation for the circle below is x² + y² = 100. what is the length of the circles radius?

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.

Step2: Compare with given equation

Given \(x^{2}+y^{2}=100\), comparing with \(x^{2}+y^{2}=r^{2}\), we have \(r^{2}=100\).

Step3: Solve for \(r\)

Take the square - root of both sides. Since \(r>0\) (radius is a non - negative quantity), \(r = 10\).

Answer:

10