# Is the apothem of a regular polygon less than the radius?

## Is the apothem of a regular polygon less than the radius?

The apothem is always shorter than the radius.

Is the apothem equal to the side of a regular polygon?

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

### What is apothem circle?

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.

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.

## Why is the radius of a regular polygon always greater than the apothem?

As the number of sides of a regular polygon increases, the measure of the central angle also increases. The radius of a regular polygon is always greater than the apothem. You just studied 5 terms!

How do you find the apothem of a regular 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.

### What apothem means?

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

What is apothem math?

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

## What is the apothem of a regular polygon?

Definition: A line segment from the center of a regular polygon to the midpoint of a side. Try this Adjust the polygon below by dragging any orange dot, or alter the number of sides. Note the behavior of the apothem line shown in blue. The apothem is also the radius of the incircle of the polygon.

What is the definition of An apothem in math?

Definition of an Apothem. In mathematics, a regular polygon is a polygon with n sides, all having equal length. Each regular polygon has a radius, an apothem, an incircle, and a circumcircle. The circumcircle is the circle around the outside of the polygon connecting all of its vertices.

### Which is the circle on the inside of An apothem?

The incircle is the circle on the inside of the polygon touching each of the midpoints of the sides. Lastly, the apothem is the line connecting the center of the polygon to the midpoint of one of the polygon’s sides.

How to calculate the length of An apothem line?

A regular Pentagon has 5 equal sides. The length of the Apothem line can also be worked out if we know the distance from the center of a regular Polygon to a vertex. This is a line that is often referred to as the “long radius” of a polygon, labelled r below.

Posted In Q&A