Table of Contents

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

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 calculator?

The word apothem can refer to the length of that line segment. The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. Analogically, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

**How do you find the perimeter of a polygon calculator?**

Perimeter of Regular Polygon = (Number of sides) x (Side length of a polygon) units. Perimeter = 5 (4) = 20 cm.

### What is the area of a pentagon with an apothem of 5?

225 square units

Example: Find the area of the pentagon whose side length is 18 units and the length of apothem is 5 units. The area of the pentagon is 225 square units.

### Is the apothem equal to the radius?

An apothem of a regular polygon will always be a radius of the inscribed circle. It is also the minimum distance between any side of the polygon and its center.

**How do you find the area and perimeter of a regular pentagon?**

Using a Formula. Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.

## How do you calculate the angles of a pentagon?

Like any regular polygon, to find the interior angle we use the formula (180n–360)/n . For a pentagon, n=5. To find the exterior angle of a regular pentagon, we use the fact that the exterior angle forms a linear pair with the interior angle, so in general it is given by the formula 180-interior angle. Where S is the length of a side.

## How do you calculate the area of a regular polygon?

Know the correct formula. The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.

**What is an apothem of a polygon?**

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.

### How do you calculate the length of a hexagon?

The simplest, and by far most common, way of finding the length of a regular hexagon’s sides is using the following formula: s = P ÷ 6, where P is the perimeter of the hexagon, and s is the length of any one of its sides.