7
QuizMultiple Choice

Lesson 10.9: Equation of a Circle

Question 7 • *CR CCSS Math 2 S2 [M2960OX]

Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z?

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

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