Mathematics

Problem

Region

R

lies inside the circle

x^{2}+y^{2}=4

and to the right of the vertical line

x=1

. Which of the following gives the exact area of

R

? a)

\dfrac{4\pi}{3}+\sqrt{3}

\dfrac{4\pi}{3}-\sqrt{3}

2\pi-\sqrt{3}

\dfrac{4\pi}{3}