Square A B C D has side length 2. A semicircle with diameter \overline{A B} is constructed inside the square, and the tangent to the semicircle from C intersects side \overline{A D} at E. What is the length of \overline{C E} ?
Answer Choices
A. \dfrac{2+\sqrt{5}}{2}
B. \sqrt{5}
C. \sqrt{6}
D. \dfrac{5}{2}
E. 5 \quad \sqrt{5}