Answer:
Area = 23.38 square"
Step-by-step explanation:
It is given that a regular hexagon is having a side = 3"
Since hexagon is inscribed in a circle therefore all the triangles formed by the radii and the sides of hexagon will be equilateral triangles.
In a hexagon number of triangles formed = 6
Area of an equilateral triangle = 1/4s²√3
By putting the value of s = 3"
Area of one triangle = 1/4×3²√3 = (9√3)/4
and we know number of triangles formed inside the hexagon = 6
Therefore area of hexagon = 6×(9√3)/4 = 23.38 square"
Answer is 23.38 square"
