A hexagon is six sided so the area would be the sum of the

areas of six identical triangles. If we call this area A:

Area of hexagon = 6*A

We just need to find the area A of one of these triangles.

A = (1/2)base*height

The base is the side of the hexagon or 10 inches

The height is the distance from the center of the hexagon to

the center of the side and this forms a right triangle whose

one side is 10/2 = 5 and has a 60 degrees angle so that

tan(60) = height/5

There is a formula as well

(no. of sides)(length of a side)^2

-------------------------------- = AREA of Regular POLYGONS

(4)tan(180/no. of sides)