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Area lying in the first quadrant and bou...

Area lying in the first quadrant and bounded by the circle `x^2+y^2=4` and the lines `x= 0` and `x= 2` is:

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The correct Answer is:
A
The area bounded by the circle and the lines, `x=0` and `x=2`, in the first quadrant is represented as shaded region in the plot.
Area of `triangleOAB=int_0^2 ydx`
=` int_0^2 sqrt(4-x^2)dx`
`= [x/2 sqrt(4-x^2) +4/(2) sin^-1(x/2)]_0^2`
`= 2(pi/2)` = `pi` sq. units
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