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प्रश्न
How many diagonals does a hexagon have?
पर्याय
9
8
2
6
उत्तर
9
Explanation:
We know that, the number of diagonals in a polygon of n sides is `(n(n - 3))/2`
In hexagon, n = 6
∴ Number of diagonals in a hexagon = `(6(6 - 3))/2`
= `(6 xx 3)/2`
= 3 × 3
= 9
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संबंधित प्रश्न
Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
| Figure |  |
 |
 |
 |
| Side | 3 | 4 | 5 | 6 |
| Angle sum | 180° |
2 × 180° = (4 − 2) × 180° |
3 × 180° = (5 − 2) × 180° |
4 × 180° = (6 − 2) × 180° |
What can you say about the angle sum of a convex polygon with number of sides?
a) 7
b) 8
c) 10
d) n
Classify the following curve as open or closed:
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The number of sides of a regular polygon whose each interior angle is of 135° is ______.
A polygon is regular if all of its sides are equal.
