What is the formula for a 5 sided polygon?
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 |
What is the formula for area of a polygon?
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
How do you work out the area of an irregular pentagon?
To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon.
How do you find the perimeter of a 5 sided polygon?
If all the sides of a pentagon are of equal length, it is known as a regular pentagon. In this case, the perimeter of the pentagon can be calculated with the help of the formula, Perimeter = 5 × side length. For example, if one side of a regular pentagon is 8 units, its perimeter will be, P = 5 × 8 = 40 units.
What is the apothem of a 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 the area of different shapes?
How to calculate area?
- Square area formula: A = a²
- Rectangle area formula: A = a * b.
- Triangle area formulas: A = b * h / 2 or.
- Circle area formula: A = πr²
- Circle sector area formula: A = r² * angle / 2.
- Ellipse area formula: A = a * b * π
- Trapezoid area formula: A = (a + b) * h / 2.
- Parallelogram area formulas:
What is the area and perimeter of pentagon?
The basic formula for the area of a regular pentagon is, Area of pentagon = 1/2 × p × a; where ‘p’ is the perimeter of the pentagon and ‘a’ is the apothem of a pentagon.
