Question

what is the number of diagonals in a polygon following
a.13 sides b.22sides​

Answer 1

Step-by-step explanation:

A polygon is simply a plain figured enclosed by straight lines. In Greek, poly means many and gon means angle. The simplest polygon is a triangle which has 3 sides and 3 angles which sum up to 180 degrees. Here, the diagonal of a polygon formula is given with description and solved examples.

There can be numerous sided polygons and they can either be regular (equal length and interior angles) or irregular. A polygon can be further classified as concave or convex based on its interior angles. If the interior angles are less than 180 degrees, the polygon is convex, otherwise, it is a concave polygon. It should be noted the sides of a polygon are always a straight line.

In a polygon, the diagonal is the line segment that joins two non-adjacent vertices. An interesting fact about the diagonals of a polygon is that in concave polygons, at least one diagonal is actually outside the polygon.