Question

What’s a regular hexagon’s apothem with sides that are 2 feet long

Answer 1

Answer:

$a = \sqrt{3}$

Step-by-step explanation:

The hexagon is a six-sided polygon (marked green: 2 ft long). When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a (red) line segment from the center of a polygon to the middle point of any one side. You usually need to know the length of the apothem when calculating the area of a hexagon.

$sin \frac{\pi }{3} = \frac{a}{2} \\\\a = 2 * sin \frac{\pi }{3} = 2 *\frac{\sqrt{3} }{2} = \sqrt{3}$