Problem:
A polygon with $8$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.114 & 0.86 \\
 0.59 & 0.822 \\
 0.642 & 0.718 \\
 0.655 & 0.958 \\
 0.703 & 0.303 \\
 0.825 & 0.138 \\
 0.826 & 0.322 \\
 0.841 & 0.971 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Angles: $\{0.97,0.14,5.19,1.3,3.11,4.64,0.47,3.03\}$ 
Area: $0.22$ 
Perimeter: $2.92$ 
Type: Simple
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/79420.txt'}