The area of a regular hexagon of side 'a' is equal to

The area of a regular hexagon of side 'a' is equal to

  1. √2/3 a2 square units
  2. 3√3/2 a2 square units
  3. 1/3 a2 square units
  4. √3/2 a2 square units

Answer

A polygon with six sides and six angles is termed as a Hexagon. In regular hexagon, all the sides are of equal length and the internal angles are of the same value.

A regular hexagon can be divided to six identical equilateral triangles whose side's length is equal to the side of hexagon.

Area of equilateral triangle = √3/4 a2

Area of hexagon = 6 × √3/4 a2

= 3√3/2 a2

The correct option is B.