5
QuizMultiple Choice

Performance Task: Circle Constructions — Unit test

Question 5 • *CR CCSS Math 2 S2 [M2960OX]

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

Answer
A
x2 + y2 + 4x + 6y – 51 = 0
B
x² + y² – 4x – 6y – 51 = 0
C
x2 + y2 + 4x + 6y – 3 = 0
D
x2 + y2 – 4x – 6y – 3 = 0

Explanation

A circle with diameter 8 has radius 4. Using center (–2, –3), its equation is (x + 2)² + (y + 3)² = 4². Expanding and moving everything to one side gives x² + y² + 4x + 6y – 3 = 0, which is choice C.

AI-written and checked against the verified answer.

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