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August 20, 2014

August 20, 2014

Posted by **suzy** on Tuesday, November 30, 2010 at 6:14pm.

- geometry -
**Reiny**, Tuesday, November 30, 2010 at 6:55pmdraw the diagonals of the hexagon and you will have 6 equilateral triangles.

let's look at one of these.

the height can found by Pythagoras

h^2 + 9^2 = 18^2

h^2 = √243 = 9√3

so the area of one of them = (1/2)(18)(9√3) = 81√3

there are 6 of them ,so total area of hexagon = 486√3

Area of circle = π(18)^2 = 324π

area of difference = 324π - 81√3 or appr. 176.1

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