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Q. The area of the circle $x^2 + y^2 - 2x + 4y- 4 = 0$ is

COMEDKCOMEDK 2006Conic Sections

Solution:

Equation of given circle is $x^2 + y^2 - 2x + 4y - 4 = 0$
Centre (-1, 2) and Radius= 3
$ \therefore $ Area of circle = $\pi \times 3^2 = 9\pi $ sq. units