How do you find the area of a polygon with 5 sides?

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.

What is the formula for area of 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 find the area of a irregular pentagon with side lengths?

Area of an Irregular Polygon

  1. Break into triangles, then add. In the figure above, the polygon can be broken up into triangles by drawing all the diagonals from one of the vertices.
  2. Find ‘missing’ triangles, then subtract.
  3. Consider other shapes.
  4. If you know the coordinates of the vertices.

What is a 5 sided polygon called?

A pentagon is a polygon that has 5 sides and 5 vertices.

What is the area of pentagon?

Question 1: Find the area of a pentagon of side 10 cm and apothem length 5 cm. = 125 cm2. Question 2: Find the area of a regular pentagon, if the side length is 3cm….Solved Examples on Area of Pentagon Formula.

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What is the area of Pentagon?

How do you find the area of a shape with unequal sides?

To find the Area of Irregular Shapes, first, we need to divide the Irregular Shape into Regular Shapes that you can recognize such as triangles, rectangles, circles, Squares and so forth. Then, find the Area of these individual Shapes and add them to get an Area of Irregular Shapes.

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 easiest way to find the area of a pentagon?

Use the perimeter and apothem.

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

What is pentagon formula?

For a regular pentagon with side and apothem length, then the formula to find the area of a pentagon is given as. Area of a Pentagon, A = (5/2) ×Side Length ×Apothem square units. If only the side length of a pentagon is given, then. Area = 5s2 / (4 tan 36°) Square units.