How do you find area of a pentagon?
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How do you find area of a pentagon?
If the apothem of the regular pentagon is given, then its area can be calculated using the formula: Area of pentagon = 1/2 × p × a; where ‘p’ is the perimeter of the pentagon and ‘a’ is the apothem.
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))}].
What is the equation for a pentagon?
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 find the area of a pentagon without apothem?
You can now divide the pentagon into 5 triangles, each with a base width of 3 (equal to the length of one side of the pentagon) and a height of 2 (equal to the apothem). To find the area of the pentagon, all you need to do is find the area of one of the triangles and multiply the result by 5.
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 area of an irregular polygon?
To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.
What is apothem in 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 pentagon?
What is a irregular pentagon?
An irregular pentagon is a shape that has five unequal sides. It is possible to have two or three sides of an irregular pentagon equal in length but not all the sides are equal to each other.
