Question

question 7 of 10
the equation for the circle below is $x^{2}+y^{2}=100$. what is the length of the
circles radius?
a. 100
b. 50
c. 10,000
d. 10

Explanation:

Step1: Recall the standard circle equation

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 the given equation

Given \(x^{2}+y^{2}=100\), and since \(r^{2} = 100\).

Step3: Solve for \(r\)

Take the square - root of both sides: \(r=\sqrt{100}\). So \(r = 10\) (we take the positive value as radius is a non - negative quantity).

Answer:

D. 10