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

## 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 is the apothem of a regular pentagon?

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

What is the apothem of a pyramid?

For a regular pyramid, which is a pyramid whose base is a regular polygon, the apothem is the slant height of a lateral face; that is, the shortest distance from apex to base on a given face.

### Is apothem same as radius?

The radius of a regular polygon reaches from its center to any vertex, bisecting the angle at that vertex. The apothem reaches from the center to the midpoint of any side. It always bisects the side and is always perpendicular to it.

Why is the radius of a regular polygon is 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!

What are two characteristics of a regular polygon?

The sides and interior angles of a regular polygon are all equal.

• The bisectors of the interior angles of a regular polygon meet at its center.
• The perpendiculars drawn from the center of a regular polygon to its sides are all equal.
• The lines joining the center of a regular polygon to its vertices are all equal.
• #### What are two properties of a regular polygon?

Properties of Regular polygons. Some of the properties of regular polygons are listed below. All the sides of a regular polygon are equal; All the interior angles are equal; The perimeter of a regular polygon with n sides is equal to the n times of a side measure. The sum of all the interior angles of a simple n-gon or regular polygon = (n −

What are the exterior angles in a regular polygon?

Results of our scrutiny using the six identifying properties of regular polygons: △ C AT △ C A T is a regular polygon, the simplest kind. It is an equilateral triangle, with interior angles of 60° 60 ° and exterior angles of 120° 120 °. Names of Regular Polygons Imagine you are unpacking a shipment of polygons.

What polygon is always a regular polygon?

It is said that as per Euclidean Geometry, a polygon that is equiangular and equilateral is called a regular polygon while a polygon whose sides are not equiangular and equilateral is referred to as an irregular polygon. A regular polygon is always prefixed by the term “regular”.