Problem:
A polygon with $4$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.63 & 0.502 \\
 -0.486 & 0.563 \\
 -0.389 & 0.127 \\
 0. & 0. \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $1.75$ 
Area: $0.11$ 
Angles: $\{1.4,2.46,0.54,1.88\}$ 
Type: Convex
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/40198.txt'}