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प्रश्न
The number of diagonals of an n-sided figure is `1/2(n^2 - 3n)`. Use the formula to find the number of diagonals for a 6-sided figure (hexagon).
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उत्तर
Given, a polygon has n sides, then number of diagonals is `1/2(n^2 - 3n)`.
In hexagon, there are six sides
Therefore for calculating number of diagonals in hexagon, put n = 6 in the above formula
∴ Number of diagonals = `1/2[n^2 - 3n]`
= `1/2(6^2 - 3 xx 6)`
= `1/2(6 xx 6 - 3 xx 6)`
= `1/2(36 - 18)`
= `1/2(18)`
= 9
Hence, a hexagon has 9 diagonals.
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संबंधित प्रश्न
Express the following as product of powers of its prime factor:
648
Simplify:
52 × 33
Evaluate:
`(5^-1xx3^-1)÷6^-1`
Which is greater:
43 or 34
Which is greater:
54 or 45
Which one is greater 23 or 32?
Fill in the blanks with <, > or = sign.
23 ______ 32
Identify the greater number in the following:
29 or 92
