# How do you find the apothem of a hexagon when given the side?

## How do you find the apothem of a hexagon when given the side?

Here’s how you do it:

1. If you know the perimeter, then just divide it by 6 to get the length of one side.
2. If you only know the apothem, you can find the length of a side by plugging the apothem into the formula a = x√3 and then multiplying the answer by two.

## How do you find the apothem of a hexagon?

Inradius: the radius of a circle inscribed in the regular hexagon is equal to a half of its height, which is also the apothem: r = √3/2 * a .

How do you find the apothem?

We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.

What is an apothem in hexagon?

A hexagon is a six-sided polygon. When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a 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.

### Is the apothem equal to the side?

The apothem is always perpendicular to the side on which it ends. A regular polygon has all its sides and angles equal.

### Are all sides of hexagon equal?

Hexagons are six sided figures and possess the following shape: In a regular hexagon, all sides equal the same length and all interior angles have the same measure; therefore, we can write the following expression.

How do you find the sides of a hexagon?

Calculating Side Length Divide your value by the square root of 3 if your given value is the length of the line that completes the left-most or the right-most isosceles triangle in the hexagon. The quotient is the length of the hexagon side.

Is the apothem equal to the side length?

#### What is the difference between a radius and an apothem?

The apothem of a regular polygon is a segment connecting the center of the polygon to a midpoint of one of the sides, and the radius of a regular polygon is a segment connecting the center of the polygon to one of the vertices.

#### Which are true of the regular hexagon?

‘ A regular hexagon has six sides that are all congruent, or equal in measurement. A regular hexagon is convex, meaning that the points of the hexagon all point outward. All of the angles of a regular hexagon are congruent and measure 120 degrees.