Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

A circle with center (h, k) has equation (x − h)² + (y − k)² = r². The diameter is 10, so the radius is 5 and r² = 25; substituting the center (−4, 9) gives (x + 4)² + (y − 9)² = 25, which is choice B.

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