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 ?
Answer
A
negative 5 comma 6
B
negative 6 comma 5
C
5 comma negative 6
D
6 comma negative 5
Explanation
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.
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