Problem:
A polygon with $8$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.73 & 0.175 \\
 -0.714 & 0.164 \\
 -0.451 & 0.946 \\
 -0.307 & 0.872 \\
 -0.305 & 0.056 \\
 -0.123 & 0.021 \\
 -0.065 & 0.401 \\
 0. & 0. \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.67$ 
Area: $0.4$ 
Type: Convex 
Angles: $\{1.84,2.79,3.07,3.12,1.24,2.83,2.52,1.44\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/15671.txt'}