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The distance from the center of a regular hexagon to a vertex is 15 cm. Find the area of the regular hexagon. Round to the nearest tenth.
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A regular hexagon is a collection of six equilateral triangles. The sides of the triangles is 15, which means the height of each triangle is \[h=15\sqrt{3}/2\]area of each triangle is \[A _{T}=225\sqrt{3}/4\]so the area of the hexagon is
\[A _{H}=675\sqrt{3}/2\]
is it 584.6
You are on your own on the calculation and rounding...
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