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Find the radius of the circle with equation x^2 - 4x + y^2 - 6y - 36 = 25

 Apr 11, 2021
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Put it into standard form by completing the square for x and y

 

 

x^2 - 4x + y^2 - 6y  = 25 + 36

(x-2)^2    +( y-3)^2   = 25 + 36 + 4 + 9      The right side = radius ^2

                              = 74                            radius = sqrt 74  = 2 sqrt 19

 Apr 11, 2021

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