does a pentagon have a centroid? if so how can i draw that in a carboard pentagon?

Answer 1

Easiest way would be to drop a bisector from two of the angles. The intersection will be the centroid. This is assuming a regular pentagon.

If it is an irregular pentagon, you could tie a weight to a string. Hold the pentagon by a vertex while also holding the string. This line passes through the center of gravity. Do the same for another vertex. The lines will intersect at the centroid (aka center of gravity). This method would work for a regular pentagon also since the lines would be the angle bisectors.