Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.677 & 0.397 \\
 -0.668 & 0.576 \\
 -0.634 & 0.61 \\
 -0.491 & 0.067 \\
 -0.148 & 0.729 \\
 0. & 0. \\
 0.008 & 0.738 \\
 0.056 & 0.226 \\
 0.064 & 0.591 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.51$ 
Type: Convex 
Area: $0.43$ 
Angles: $\{2.58,2.22,1.68,2.92,2.76,1.87,2.96,2.6,2.41\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/52961.txt'}