Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.082 & 0.498 \\
 0.228 & 0.468 \\
 0.253 & 0.206 \\
 0.315 & 0.449 \\
 0.385 & 0.368 \\
 0.452 & 0.861 \\
 0.562 & 0.917 \\
 0.738 & 0.243 \\
 0.967 & 0.365 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.63$ 
Angles: $\{0.98,3.15,3.78,4.54,0.81,2.73,1.43,1.73,2.84\}$ 
Type: Simple 
Area: $0.33$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/76085.txt'}