Question 148552
a hexagon is inscribed in a circle of radius 4. find the area of the hexagon.
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Assuming it's a regular hexagon, there are 6 equilateral triangles with sides of 4.
The area of each is bh/2, = {{{4*2*sqrt(3)/2}}}
The total area is 6 times that,
={{{24*sqrt(3)}}}
= apx 41.57 square units
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As a check, the area of the circle is {{{PI*r^2}}} = 50.265
The circle will always be more than anything inscribed in it.