Find the equation of the circle with centre (−2, 3) and radius 5.
A$(x+2)^2 + (y-3)^2 = 25$CORRECT
B$(x-2)^2 + (y+3)^2 = 25$
C$(x+2)^2 + (y-3)^2 = 5$
D$(x-2)^2 + (y-3)^2 = 25$
GCEMathematicsCoordinate Geometry2022
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Why the answer is A, and why the others tempt you.
The standard equation of a circle with centre (a, b) and radius r is (x−a)² + (y−b)² = r². With centre (−2, 3) and r = 5: (x−(−2))² + (y−3)² = 25, which simplifies to (x+2)² + (y−3)² = 25. Option B uses wrong signs for both centre coordinates, option C uses r instead of r², and option D uses the wrong sign for the x-component.
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