The apothem (sometimes abbreviated as apo) of a regular polygon is **a line segment from the center to the midpoint of one of its sides**. For an equilateral triangle, the apothem is equivalent to the line segment from the midpoint of a side to the triangle’s center.

Contents

- 1 How do you find the apothem?
- 2 Is the apothem half of the height of a triangle?
- 3 What is a apothem in geometry?
- 4 Is the apothem the same length as a side?
- 5 How do you find the area of apothem?
- 6 How do you find the apothem area of an equilateral triangle?
- 7 What is the apothem length of a triangular pyramid?
- 8 What is apothem length of triangular prism?
- 9 What is the apothem?
- 10 Is there an apothem of a circle?
- 11 What is apothem of a hexagon?

## 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.

## Is the apothem half of the height of a triangle?

For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft. The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.

## What is a apothem in geometry?

Given a circle, the apothem is the perpendicular distance from the midpoint of a chord to the circle’s center. It is also equal to the radius minus the sagitta, For a regular polygon, the apothem simply is the distance from the center to a side, i.e., the inradius. of the polygon.

## Is the apothem the same length as a side?

Definition: A line segment from the center of a regular polygon to the midpoint of a side. The apothem is also the radius of the incircle of the polygon. For a polygon of n sides, there are n possible apothems, all the same length of course.

## How do you find the area of apothem?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2, where n is the number of sides, s is the length of one side, and a is the apothem.

## How do you find the apothem area of an equilateral triangle?

Use the formula of A=BH/2 to find the final area of the triangle.

## What is the apothem length of a triangular pyramid?

A triangular pyramid is a three-dimensional object with a triangular base and triangular sides that meet at a common point above the base, called the apex. The apothem of a triangular pyramid is the same as the height of the triangular base of the pyramid.

## What is apothem length of triangular prism?

The polygon’s apothem is the line connecting the polygon center to the midpoint of one of the polygon’s sides. The apothem of a triangle is the height of a triangle. h = height of a prism. Find the volume of a triangular prism whose apothem is 12 cm, the base length is 16 cm and height, is 25 cm.

## What is the apothem?

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

## Is there an apothem of a circle?

Apothem. An apothem is a line segment (or the length of the line segment) with one endpoint at the centre of a circle and the other endpoint on the midpoint of a chord of the circle. Because of the “Chord Property”, the apothem is perpendicular to the related chord (circle) or side (regular polygon).

## What is apothem of a 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.