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Find the area of the region enclosed by the graph of x^2 + y^2 = 2x - 6y + 6.

 Jun 30, 2020
 #1
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Completing the square, we get (x - 2)^2 + (y + 6)^2 = 28, so the area of the circle is 28*pi.

 Jun 30, 2020
 #2
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That is incorrrect.

 Jul 1, 2020
 #3
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x2 + y2 = 2x -6y + 6

 

x2 -2x + y2 + 6y = 6

 

x2 -2x + 4 + y2 + 6y + 9 = 6 + 4 + 9

 

(x - 2)2 + (y + 3)2 =  19    

 

Eqn of a circle with radius2 = 19

 Jul 1, 2020
 #4
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The answer is 16pi.

 Jul 1, 2020

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