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Find the area of the region enclosed by the graph of the equation x^2 + y^2 = 4x + 6y + 13.
Thanks!
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The equation represents a circle.
All we need to do is to find its radius.
For it, let us reduce the equation to the standard form.
Apply the completing the square method:
= . ===>
= 13.
= 13.
= 13 + 4 + 9.
= 26.
The figure is the circle of the radius r = .
Its area is = = 3.14*26.