2016 AMC 10A Problem 24

A quadrilateral is inscribed in a circle of radius 200\sqrt{2}. Three of the sides of this quadrilateral have length 200. What is the length of the fourth side?

\textbf{(A) }200\qquad \textbf{(B) }200\sqrt{2}\qquad\textbf{(C) }200\sqrt{3}\qquad\textbf{(D) }300\sqrt{2}\qquad\textbf{(E) } 500

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.