The area of the smaller segment cut off from the circle \[{{x}^{2}}+{{y}^{2}}=9\] by \[x=1\] is [RPET 2002]

\[\sqrt{8}-9{{\sec }^{-1}}(3)\]

\[\frac{1}{2}(9{{\sec }^{-1}}3-\sqrt{8})\]

\[9{{\sec }^{-1}}(3)-\sqrt{8}\]

The area of the smaller segment cut off from the circle \[{{x}^{2}}+{{

1.	The area of the smaller segment cut off from the circle \[{{x}^{2}}+{{y}^{2}}=9\] by \[x=1\] is [RPET 2002]
A.	\[\frac{1}{2}(9{{\sec }^{-1}}3-\sqrt{8})\]
B.	\[9{{\sec }^{-1}}(3)-\sqrt{8}\]
C.	\[\sqrt{8}-9{{\sec }^{-1}}(3)\]
D.	None of these
Answer» C. \[\sqrt{8}-9{{\sec }^{-1}}(3)\]

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The area of the smaller segment cut off from the circle \[{{x}^{2}}+{{y}^{2}}=9\] by \[x=1\] is [RPET 2002]

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