You are watching: Find the perimeter of a hexagon

A regular hexagon has a radius the

. Uncover the perimeter.See more: How Is Generalization Used In Literature ? How Is A Generalization Used In Literature

Explanation:

The only information offered in the problem is the radius. Indigenous the radius, we room expected to solve for the perimeter. But in stimulate to do so, we need to go through a few small steps. The initial score is to deal with for the length of among the sides. As soon as one of the sides has actually been found, the perimeter deserve to be solved for by multiplying the side length by the variety of sides (

).In stimulate to deal with for the side (or together some contact it, the basic side), we deserve to use ideal triangles.

The first step is to settle for the interior angles that the hexagon. This deserve to be fixed through

, whereby is the variety of sides. = interior angle measurementThis angle gets bisected in the appropriate triangle we can draw using the radius. This means that the bottom right edge of the figure is

value and also the next opposite the (in this case, our base) is . Because , this means that our basic is ; however, due to the fact that the base of the triangle just makes up fifty percent of the size of a side, this way that the side length is in reality .Now the we have actually the worth of the next length, we have the right to solve because that the perimeter making use of the formula discussed previously: