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lana [24]
3 years ago
14

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

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Complete the squares to get

x^2+y^2=2x-6y+6

\implies(x^2-2x+1)+(y^2+6y+9)=16

\implies(x-1)^2+(y+3)^2=4^2

which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.

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