How to find apothem of hexagon

Set up the formula for finding the apothem of a regular polygon. The easiest way is to use our hexagon calculator which includes a built-in area conversion tool.

The word apothem can refer to the line itself or the length of that line.

How to find apothem of hexagon. Using Trigonometry Given Side Length or Radius 1. Set up the formula for finding the apothem of a regular polygon. Plug the side length into the formula.

Plug the number of sides into the formula. A hexagon has 6 sides. Complete the calculation in parentheses.

Apothem Example First determine the number of sides. Measure the total number of sides. For example a hexagon would have six sides.

Next determine the length of any side. Since the length of all sides on a polygon are equal you can choose any side to. Finally calculate the apothem.

If you cut an equilateral triangle side length s in half youre left with a 30-60-90 triangle. Special right triangle properties or trigonometry dictate that if the hypotenuse is s the short leg is s 2 and the long leg and thus the apothem of your regular hexagon is s 3 2. 21K views View 1 Upvoter.

The word apothem can refer to the line itself or the length of that line. So you can correctly say draw the apothem and the apothem is 4cm. Each formula below shows how to find the length of the apothem of a regular polygon.

Use the formula that uses the facts you are given to start. Apothem given the length of a side. Formulas Used to Calculate the Apothem Length The apothem formula when the side length is given is.

A a S 2 tan180 n S 2 tan 180 n. The apothem a of a regular n -sided polygon with side length s or circumradius R can be found using the following formula. A s 2 tan π n R cos π n.

Displaystyle a frac s 2tan left frac pi nrightRcos left frac pi nright a s 2 tan π n 2 2 n. Find the apothem of a regular hexagon with side 12 cm. An apothem is the line that connects the center of a regular polygon to the midpoint of one of the polygons sides.

We can find the length of the apothem if we know the length of one of the sides. Hence we can find the apothem for both of them using the formula mentioned above. For pentagon a Length of one side of pentagon n 5 2.

For hexagon a Length of one side of hexagon n 6. Apothem of a regular polygon is defined as the distance between the center of the regular polygon and the midpoint of a side provided the value of side length for calculation is calculated using ApothemSide2tan180pi180Number of sides. To calculate Apothem of a regular polygon you need Side s and Number of sides n.

With our tool you need to enter the respective value for Side and Number of sides and hit the calculate button. Use the formula that uses the facts you are given to start. Apothem is the line drawn from the center of the polygon that is perpendicular to one of its sides.

Below is the implementation of the above approach. Apothem is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word apothem can refer to the line itself or the length of that line.

In a regular hexagon split the figure into triangles. Find the area of one triangle. Multiply this value by six.

Alternatively the area can be found by calculating one-half of the side length times the apothem. A regular hexagon can be cut into six equilateral triangles and an equilateral triangle can be divided into two 30- 60- 90 triangles. So if youre doing a hexagon problem you may want to cut up the figure and use equilateral triangles or 30- 60- 90 triangles to help you find the apothem perimeter or area.

11 Jan 2019 Given here the side length a of a regular n-sided polygon the task is to find the length of its Apothem. Apothem is the line drawn from the center of the polygon that is perpendicular to one of its sides. Apothem8rt3 in Half of one side8 in Since the apothem half-side and segment extending from the center to the vertex form a right triangle you have the length and height and can calculate the area.

8 8rt3 2 32 in square. There are 12 of these triangles so multiply that by 12. You get 384rt3 inches square.

The hexagon has 6 sides that measure 43cm what is the Apothem. Step by step please also. How to find the area of a hexagon.

We will now have a look at how to find the area of a hexagon using different tricks. The easiest way is to use our hexagon calculator which includes a built-in area conversion tool. For those who want to know how to do this by hand we will explain how to find the area of a regular hexagon with and without the hexagon area formula.