# Area of A Hexagon Formula

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A hexagon is a geometric figure which belongs to the polygon group of geometric shapes. A polygon is a geometric shape of ‘n’ number of sides. If the number of sides are ‘6’, then that polygon is called a hexagon. A regular hexagon is the hexagon whose length of the sides are equal to each other. Area of a hexagon is the area covered inside the shape by its sides and can be calculated using a formula.

Example 1: Calculate the area of the regular hexagon with a side length of 6m.

Since it’s a regular hexagon, all the sides are equal to each other.

Hence from the center, 6 congruent equilateral triangles are formed.

Given the side length of the hexagon, s = 3m

Area of an equilateral triangle = √3/4 * s2 where s = side length

Hence area of the regular hexagon, A = 6 * (Area of the equilateral triangle)

Area of regular hexagon, A = 6 * √3/4 * s2 = √3/4 * (6)2 = 15.6m2

Example 2: Calculate the area of the regularhexagon with a side length of 12m.

Since it’s a regular hexagon, all the sides are equal to each other.

Hence from the center, 6 congruent equilateral triangles are formed.

Given the side length of the hexagon, s = 12m

Area of an equilateral triangle = √3/4 * s2 where s = side length

Hence area of the regular hexagon, A = 6 * (Area of the equilateral triangle)

Area of regular hexagon, A = 6 * √3/4 * s2 = √3/4 * (12)2 = 62.35m2