Problem:
A polygon with $4$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.629 & 0.811 \\
 -0.617 & 0.418 \\
 0. & 0. \\
 0.287 & 0.905 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.52$ 
Perimeter: $3.01$ 
Type: Convex 
Angles: $\{1.64,2.2,1.28,1.16\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/79784.txt'}