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The parabola \(y^2=4 x\) divides the area of the circle \(x^2+y^2=5\) in two parts. The area of the smaller part is equal to :

(A) \(\frac{2}{3}+5 \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)

(B) \(\frac{1}{3}+5 \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)

(C) \(\frac{2}{3}+\sqrt{5} \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)

(D) \(\frac{1}{3}+\sqrt{5} \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)