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Number of Diagonals in a Polygon of n sides (Formula - Proof and practice Questions)
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#IPM #IPM Leap #IPMAT #JIPMAT #Permutation #Combination #Counting #Geometry
This video lesson illustrates how to calculate the number of diagonals in a regular polygon such as a rectangle, pentagon, hexagon, decagon, and in general – any polygon of n sides. It states the formula for the number of diagonals and proves that formula using two different approaches with the example of a decagon.
Further, the application of the formula is shown through the following practice questions:
1. How many diagonals does a convex polygon with 11 sides have?
2. If a polygon has 65 diagonals, how many sides are there in the polygon?
This video lesson illustrates how to calculate the number of diagonals in a regular polygon such as a rectangle, pentagon, hexagon, decagon, and in general – any polygon of n sides. It states the formula for the number of diagonals and proves that formula using two different approaches with the example of a decagon.
Further, the application of the formula is shown through the following practice questions:
1. How many diagonals does a convex polygon with 11 sides have?
2. If a polygon has 65 diagonals, how many sides are there in the polygon?
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