Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.838 & 0.332 \\
 -0.829 & 0.674 \\
 -0.527 & 0.82 \\
 -0.191 & 0.822 \\
 -0.146 & 0.793 \\
 -0.111 & 0.756 \\
 -0.062 & 0.686 \\
 -0.013 & 0.168 \\
 0. & 0. \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.79$ 
Angles: $\{1.92,1.12,3.12,2.64,2.98,2.89,2.57,2.7,2.05\}$ 
Area: $0.49$ 
Type: Convex
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/14268.txt'}