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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).
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
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| (i) | 34 | 3 | 4 | 3 × 3 × 3 × 3 | 81 |
| (ii) | 163 | ||||
| (iii) | (−8) | 2 | |||
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| (v) | (−13)4 |
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| Sl. No. | Unit | Value in Seconds |
| 1. | 1 Minute | 60 |
| 2. | 1 Hour | 3,600 |
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