Lengths of Diagonals in Regular Polygons
As regular polygons equal sides and interior angles, we can find the formula for the length of regular polygons. The formula for the length of the diagonal of a regular polygon is given as:
Where,
- d is the length of diagonal,
- s is the length of the side, and
- n is the number of sides of the polygon.
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Diagonal of a Polygon Formula
Diagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). A polygon is a closed shape with three or more straight sides, and diagonals are the line segments that connect any two non-adjacent vertices of the polygon.
In this article, we’ll explore the concept of diagonals in polygons, examine their properties and patterns, and discuss their applications in various fields. So, let’s get started and dive into the exciting world of polygons and diagonals!
Table of Content
- What are Polygons?
- Definition of Diagonals
- Number of Diagonals in a Polygon
- Formula for Diagonal of Polygon
- Examples of Calculating the Number of Diagonals in a Polygon
- Properties for Diagonals of a Polygon
- For Square
- For Parallelogram
- For Rhombus
- For Regular Polygon
- Diagonals in Convex and Concave Polygons
- Lengths of Diagonals in Regular Polygons
- Sample Problems on Diagonals of a Polygon
- FAQs on Diagonals of a Polygon