117496
AssignmentMultiple Choice

Equation of a Circle

Question 117496 • *CR CCSS Math 2 S2 [M2960OX]

Which equation represents a circle with a center at (2, –8) and a radius of 11?

Answer
A
(x – 8)2 + (y + 2)2 = 11
B
(x – 2)² + (y + 8)² = 121
C
(x + 2)² + (y – 8)² = 11
D
(x + 8)² + (y – 2)² = 121

Explanation

A circle with center (h, k) and radius r has equation (x − h)² + (y − k)² = r². Substituting h = 2, k = −8, and r = 11 gives (x − 2)² + (y + 8)² = 121. This is choice B, the equation with center (2, −8) and radius 11.

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