Problem:
A polygon with $8$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.825 & 0.543 \\
 -0.747 & 0.265 \\
 -0.697 & 0.879 \\
 -0.529 & 0.003 \\
 -0.35 & 0.884 \\
 -0.113 & 0.64 \\
 -0.064 & 0.56 \\
 0. & 0. \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Type: Convex 
Area: $0.56$ 
Perimeter: $2.86$ 
Angles: $\{2.51,2.72,2.27,1.45,2.7,2.92,2.33,1.95\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/56661.txt'}