Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.22 & 0.378 \\
 0. & 0. \\
 0.07 & 0.024 \\
 0.177 & 0.179 \\
 0.275 & 0.859 \\
 0.465 & 0.764 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.25$ 
Angles: $\{1.81,1.77,2.5,3.,1.58,1.91\}$ 
Area: $0.27$ 
Type: Convex
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/15410.txt'}