What is the center of a circle represented by the equation open paren x minus 5 close paren squared plus open paren y plus 6 close paren squared is equal to 4 squared ?

A circle in standard form is (x − h)² + (y − k)² = r², with center (h, k). Comparing it with (x − 5)² + (y + 6)² = 4² gives h = 5 and k = −6. The center is (5, −6), choice C.

AI-written and checked against the verified answer.