Question

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.

Answer 1

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

Answer 2

\[A _{H}=675\sqrt{3}/2\]

Answer 3

is it 584.6

Answer 4

You are on your own on the calculation and rounding...