Problem:
A polygon with $4$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.225 & 0.794 \\
 0.47 & 0.026 \\
 0.706 & 0.166 \\
 0.714 & 0.631 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.22$ 
Type: Simple 
Angles: $\{0.94,1.35,2.12,1.87\}$ 
Perimeter: $2.06$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/31213.txt'}