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.

Contents

- 1 What’s a apothem in geometry?
- 2 How do you find the apothem?
- 3 Is apothem the height?
- 4 What is the apothem of a circle?
- 5 Is apothem same as radius?
- 6 What is the measurement of the apothem?
- 7 What is the apothem of a regular pentagon?
- 8 What is apothem of a hexagon?
- 9 How do you find the area with the apothem?

## What’s a apothem in geometry?

: the perpendicular from the center of a regular polygon to one of the sides.

## 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 apothem the height?

An apothem is a perpendicular segment from the center of a regular polygon to one of the sides. When radii are drawn from the center to the vertices of the polygon, congruent isosceles triangles are formed with the polygon apothem as the height.

## What is the apothem of a circle?

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).

## Is apothem 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.

## What is the measurement of the apothem?

The apothem refers to the length of the line the connects the center of a regular polygon to the midpoint of any of the sides. A regular polygon has all congruent sides; if the polygon is irregular, there is not a midpoint equidistant from the midpoint of all sides.

## What is the apothem of a regular pentagon?

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. The word “apothem” can also refer to the length of that line segment.

## 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.

## How do you find the area with the 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.