 # How do you find the apothem of a polygon?

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

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. to find the length of the apothem.

What is the apothem of a pentagon?

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

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

To calculate the apothem of a hexagon, start by dividing the hexagon into 6 triangles. Then, divide one of the triangles in half to create 2 right triangles. Next, plug the length of one of the right triangle’s base and hypotenuse into the Pythagorean Theorem. Finally, solve for a to get the apothem of the hexagon.

Is apothem the same as radius?

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.

## Is radius the same as apothem?

How do you find the apothem of a hexagon with only the perimeter?

To do this, use a calculator or a trigonometry table. Multiply the tangent by 2, then divide the side length by this number. This will give you the length of the apothem of your hexagon. So, the apothem of a regular hexagon with 8-cm sides is about 6.93 cm.

### How do you get a apothem?

How is the apothem of a regular polygon related to the side of the polygon to which it is drawn?

An apothem is the altitude drawn form the side to the center of the polygon. It is perpendicular to the side. The apothems form n angles each of them 360/n. It can be used with the side to determine the area: nsa/2, where n = number of sides, s = length of side, a = apothem.