The equation of a circle is (x + 3)² + (y − 2)² = 49. What is the center and radius?
ACenter (3, −2), radius 7
BCenter (−3, 2), radius 7
CCenter (−3, 2), radius 49
DCenter (3, 2), radius 7
Explanation
📌 Step 1: Recall the standard form (x − h)² + (y − k)² = r² where center = (h, k) and radius = r
📌 Step 2: Match to the given equation (x + 3)² + (y − 2)² = 49 (x − (−3))² + (y − 2)² = 7²
📌 Step 3: Read the center and radius center = (−3, 2) radius = √49 = 7
💡 Common mistake: Watch the signs! (x + 3) means h = −3 (negative) (y − 2) means k = 2 (positive) The sign in the equation is OPPOSITE to the coordinate.
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