16
QuizMultiple Choice

Lesson 10.9: Equation of a Circle

Question 16 • *CR CCSS Math 2 S2 [M2960OX]

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

Answer
A
2 units
B
3 units
C
4 units
D
5 units

Explanation

Complete the square for each variable: x² + 8x + y² − 6y + 21 = 0 becomes (x + 4)² + (y − 3)² = 4. A circle in this form has radius equal to the square root of the right-hand side, so its radius is √4 = 2 units. The correct choice is A, 2 units.

AI-written and checked against the verified answer.

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