7
QuizMultiple Choice

Equation of a Circle — Quiz

Question 7 • Geometry

Which explains how to find the radius of a circle whose equation is in the form x squared plus y squared is equal to z ?

Answer
A
The radius is the constant term, z .
B
The radius is the square root of the constant term, z .
C
The radius is the constant term, z , divided by 2 .
D
The radius is the square of the constant term, z .

Explanation

A circle centered at the origin has equation x² + y² = r², where r is the radius. Comparing this with x² + y² = z shows that r² = z, so the radius is √z. Therefore, the correct choice is “The radius is the square root of the constant term, z.”

AI-written and checked against the verified answer.

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