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AssignmentMultiple Select

Area of a Circle and a Sector

Question 6 • *CR CCSS Math 2 S2 [M2960OX]

A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12(x – 6)² + y² = 36x² + y² = 12x² + y² = 144(x + 6)² + y² = 36(x + 12)² + y² = 144

Answer
A
(x – 12)2 + y2 = 12
B
(x – 6)² + y² = 36
C
x² + y² = 12
D
x² + y² = 144
E
(x + 6)² + y² = 36
F
(x + 12)² + y² = 144

Explanation

A circle with diameter 12 has radius 6, so its radius squared is 36. Since its center lies on the x-axis, its center has the form (h, 0), and its equation is (x − h)² + y² = 36. Choices B and E have radius 6 and centers (6, 0) and (−6, 0), respectively.

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