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Answer:

Centre = (2, -3)

radius = 5units

Step-by-step explanation:

The standard form of a circle is expressed as;

x²+y²+2gx+2fy+c = 0

Centre = (-g, -f)

radius r = √g²+f²-c

Given the equation;

x²+y²-4x+6y-12 = 0

Compare

2gx = -4x

2g = -4

g = -2

Similarly;

2fy = 6y

2f = 6

f = 3

Centre = (-(-2), -3)

Centre = (2, -3)

Radius = r = √(-2)²+3²+12

r = √4+9+12

r = √25

r = 5 units

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