Question

state whether the following statement is true or false. the radius of the circle x^2 + y^2 = 9 is 3. choose the correct answer below. true false

Explanation:

Step1: Recall circle - equation formula

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

Step2: Compare given equation

Given the equation \(x^{2}+y^{2}=9\), we can rewrite it as \(x^{2}+y^{2}=3^{2}\). By comparing with \(x^{2}+y^{2}=r^{2}\), we get \(r = 3\).

Answer:

True