What is the formula for a 5 sided polygon?
Pentagon Properties
| Properties of Pentagon Shape | The Formula of Pentagon Shape |
|---|---|
| Sides = 5 | n = 5 |
| Diagonals = 5 | n × (n − 3) ÷ 2 |
| Interior angle = 72° | 360° ÷ n |
| Exterior angle = 108° | 540° ÷ n |
How do you calculate the area of a pentagon?
Use the perimeter and apothem. 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.
What is the sum of a pentagon with 5 sides?
540 degrees
Types of Pentagon
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Quadrilateral | 4 sides | 360 degrees |
| Pentagon | 5 sides | 540 degrees |
| Hexagon | 6 sides | 720 degrees |
| Heptagon ( or Septagon) | 7 sides | 900 degrees |
What is apothem of pentagon?
Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
How do you find apothem without area?
To do this, use a calculator or a trigonometry table. Multiply the tangent by 2, then divide the side length by this number. This will give you the length of the apothem of your hexagon. So, the apothem of a regular hexagon with 8-cm sides is about 6.93 cm.
What is the property of a pentagon?
Properties of a Pentagon The properties of a simple pentagon (5-gon) are it must have five straight sides that meet to create five vertices, but do not self-intersect: Pentagons have five straight sides. Pentagons have five interior angles, which sum to 540° The five sides do not intersect.
What is the interior angle of a 5 sided polygon?
540°
Sum of Interior Angles of a Polygon
| Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
|---|---|---|
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
| Septagon | 7 | 900° |
| Octagon | 8 | 1080° |
How do you find the apothem of a pentagon calculator?
Apothem Calculator
- Formula. a = S / (2*tan(180/n))
- Number of Sides.
- Length of Side.
What is the apothem of a regular pentagon?
The apothem of a pentagon is a line segment from the center of the pentagon to a side of the pentagon. The apothem is perpendicular to the side. All regular polygons have an apothem. For a polygon of n sides, there are n apothems.
How do you find the apothem of a Pentagon calculator?
What is the perimeter and area of pentagon?
Solution: Given, s = 5; and a = 6, The formula to find the area of a pentagon with apothem is, Area of pentagon = 1/2 × perimeter × apothem. So, let us find the perimeter of the pentagon. Perimeter of the pentagon = 5 × side length = 5 × 25 = 125 units.
How do u find perimeter of a pentagon?
The perimeter of a pentagon is the measure of the distance around it or the sum of the length of all the sides. Recall that a regular pentagon has equal sides. Each side of the regular pentagon pictured above equals 4. To find the perimeter, add the length of all the sides.
How do you find the width of a pentagon?
The width is the distance between two opposite vertices of the regular pentagon (the length of its diagonal).
How to find the area of a pentagon?
The basic formula that is used to find the area of a pentagon is, Area = 5/2 × s × a; where ‘s’ is the length of the side of the pentagon and ‘a’ is the apothem of a pentagon. How to Find the Area of Pentagon? Step 1: Find the length of the side of the pentagon.
How do you draw a pentagon with 5 equal sides?
Start with the side length and apothem. This method works for regular pentagons, with five equal sides. Besides the side length, you’ll need the “apothem” of the pentagon. The apothem is the line from the center of the pentagon to a side, intersecting the side at a 90º right angle.
How to find the area of a polygon with equal sides?
A polygon having equal sides and equal angles is known as a regular polygon. At times with the help of apothem, we can find the area of a polygon. Apothem is a line segment that joins the centre of the polygon to the midpoint of any side, and it is perpendicular to that side. Only regular polygons have apothems.
How do you name a polygon with 5 sides?
We name polygons according to the number of sides they contain. For example, if the polygon has three sides, it is called a triangle. If the polygon has five sides, it is called a pentagon. If the polygon has six sides, it is called a hexagon and so on.