What is the area of a regular hexagon inscribed in a circle with a radius of 40cm?

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Answer 1 · 2015-11-22T19:10:55

You can imagine the hexagon as six isosceles triangles.

Each triangle is #60^o# with sides #40 cm#.
Area of each triangle is #A= 1/2 * 40 * h# where #h = 20sqrt(3)#

Area of each triangle #= 20 * 20 * 1.732 = 69.28 cm^2#

Hexagon has 6 triangles, #area = 69.28 * 6 =415.68 cm^2#