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find the radius of the circle. x² + y² = 9 radius = ?

Question

find the radius of the circle.

x² + y² = 9

radius = ?

Explanation:

Step1: Recall the standard form of a circle's equation

The standard form of a circle's equation is \((x - a)^2+(y - b)^2=r^2\), where \((a,b)\) is the center and \(r\) is the radius.

Step2: Compare with the given equation

The given equation \(x^2 + y^2=9\) can be written as \((x - 0)^2+(y - 0)^2 = 3^2\).

Answer:

\(3\)