Which equation represents a circle with a center at negative 4 comma 9 and a diameter of 10 units?

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

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