How Many Diagonals Does A Polygon Have?
When it comes to polygons, a common question that arises is how many diagonals does a polygon have? The answer to this question depends on the number of sides a polygon has. In this article, we will explore the formula to calculate the number of diagonals in a polygon and provide examples to help you understand the concept.
What is a Polygon?
A polygon is a two-dimensional shape that is made up of straight lines. These straight lines are called sides, and they connect to form a closed shape. A polygon can have any number of sides, and the most common polygons are triangles, quadrilaterals, pentagons, hexagons, and so on.
What is a Diagonal?
A diagonal is a straight line that connects two non-adjacent vertices of a polygon. In other words, it is a line that goes from one corner of the polygon to another without passing through any of the other corners. Diagonals are important because they divide a polygon into triangles, which can be helpful when calculating the area of a polygon.
Formula to Calculate Diagonals in a Polygon
The formula to calculate the number of diagonals in a polygon is:
Number of Diagonals = n(n-3)/2
Where 'n' is the number of sides in a polygon.
Examples of Diagonals in Polygons
Let's take a look at some examples to
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