Problem:
A polygon with $7$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.722 & 0.634 \\
 -0.634 & 0.467 \\
 -0.529 & 0.702 \\
 -0.206 & 0.67 \\
 0. & 0. \\
 0.047 & 0.427 \\
 0.242 & 0.003 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.33$ 
Perimeter: $2.56$ 
Type: Convex 
Angles: $\{1.42,2.69,2.49,1.15,2.77,2.48,2.71\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/17648.txt'}