Given an integer a which is the side of a regular hexagon, the task is to find and print the length of its diagonal.
Input: a = 6
Input: a = 9
Approach: We know that the sum of interior angles of a polygon = (n – 2) * 180 where, n is the number of sides of the polygon.
So, sum of interior angles of a hexagon = 4 * 180 = 720 and each interior angle will be 120.
Now, we have to find BC = 2 * x. If we draw a perpendicular AO on BC, we will see that the perpendicular bisects BC in BO and OC, as triangles AOB and AOC are congruent to each other.
So, in triangle AOB, sin(60) = x / a i.e. x = 0.866 * a
Therefore, diagonal length will be 2 * x i.e. 1.73 * a.
Below is the implementation of the above approach:
- Find length of Diagonal of Hexagon
- Area of hexagon with given diagonal length
- Area of a circle inscribed in a regular hexagon
- Diagonal of a Regular Pentagon
- Diagonal of a Regular Heptagon
- Diagonal of a Regular Decagon
- Length of Diagonal of a n-sided regular polygon
- Filling diagonal to make the sum of every row, column and diagonal equal of 3x3 matrix
- Area of a Hexagon
- Count of 0s in an N-level hexagon
- Number of coloured 0's in an N-level hexagon
- Largest Square that can be inscribed within a hexagon
- Largest hexagon that can be inscribed within a square
- Area of the Largest Triangle inscribed in a Hexagon
- Largest hexagon that can be inscribed within an equilateral triangle
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.