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General Equation of Circle S=0

The area boun...

Question

The area bounded by the closed curve whose equation is $x^{2} - 6 x + y^{2} + 8 y = 0$ is

12 π

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25 π

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36 π

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48 π

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cannot be determined

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Solution

The correct option is B $25 π$
Given equation is $x^{2} - 6 x + y^{2} + 8 y = 0$
$\Rightarrow {(x - 3)}^{2} + {(y + 4)}^{2} = 25$
The radius of the circle is $5$ .
Therefore, area of circle is $π r^{2} = 25 π$ .

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