Learn To Be brings free online tutoring students around the United States. Volunteer and gain community service hours while helping students who need it./p>

Area enclosed by polar graphs challenge

Determine the exact area of the  shaded region ~\blue{\text{shaded region}}~ pictured above, which is bounded by the circle  r=4sin(θ) ~r=4\sin(\theta)~ for  π2θ3π4~\dfrac{\pi}{2}\le \theta \le \dfrac{3\pi}{4}\,.