The area of smaller part between the circle \[{{x}^{2}}+{{y}^{2}}=4\]and the line \[x=1\] is [RPET 1999]

The area of smaller part between the circle \[{{x}^{2}}+{{y}^{2}}=4\]a

1.	The area of smaller part between the circle \[{{x}^{2}}+{{y}^{2}}=4\]and the line \[x=1\] is [RPET 1999]
A.	\[\frac{4\pi }{3}-\sqrt{3}\]
B.	\[\frac{8\pi }{3}-\sqrt{3}\]
C.	\[\frac{4\pi }{3}+\sqrt{3}\]
D.	\[\frac{5\pi }{3}+\sqrt{3}\]
Answer» C. \[\frac{4\pi }{3}+\sqrt{3}\]

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The area of smaller part between the circle \[{{x}^{2}}+{{y}^{2}}=4\]and the line \[x=1\] is [RPET 1999]

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