Area of a Hexagon

A hexagon is a 6-sided, 2-dimensional geometric figure. The total of the internal angles of any hexagon is 720°. A regular hexagon has 6 rotational symmetries and 6 reflection symmetries. All internal angles are 120 degrees. 
 

👁 Area of Hexagon

Examples : 
 

Input: 4
Output: 41.5692

Input: 6
Output: 93.5307

 

 

Number of vertices: 6 
Number of edges: 6 
Internal angle: 120° 
Area = (3 ?3(n)² ) / 2

How does the formula work? There are mainly 6 equilateral triangles of side n and area of an equilateral triangle is (sqrt(3)/4) * n * n. Since in hexagon, there are total 6 equilateral triangles with side n, area of the hexagon becomes (3*sqrt(3)/2) * n * n
 

Output : 
 

Area: 41.5692

Time Complexity: O(1) 
Auxiliary Space: O(1), since no extra space has been taken.