# What is the formula for perimeter of a polygon?

## What is the formula for perimeter of a polygon?

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

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 are the formulas of perimeter and area?

Area and Perimeter Formulas

Shape Area Perimeter
Circle A = π × r2 Circumference = 2πr
Triangle A = ½ × b × h S = a+b+c
Square A = a2 P = 4a
Rectangle A = l × w P = 2(l + w)

How do you convert area to perimeter?

Perimeter of a Rectangle

1. Remember the formula for perimeter and area of a rectangle. The area of a rectangle is a = length * width, while the perimeter is p = (2 * length) + (2 * width)
2. Substitute the known values into the area formula. 36 = 4 * w.
3. Substitute values for length and width into the perimeter formula.

#### How do you find the perimeter and area of a 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.

What is the area of a polygon with 4 sides?

Use the following equation: Area = side × side or A = s. Example: If one side of a square has a length of 4 feet, (t = 4), then the area of this square is simply t2, or 4 x 4 = 16 square feet.

## How do you find the perimeter if you have the area of a rectangle?

How do you find the perimeter of a rectangle given area?

1. You need to know at least one side of the rectangle: call it Side 1 ;
2. Now use the area equation, i.e., A=Side 1 × Side 2 to find the unknown side Side 2 ; and.
3. Finally use Side 1 and Side 2 to find the perimeter, i.e., P=2×(a+b) .
4. Awesome!

How do you find the area of a polygon with the apothem and perimeter?

To find the area of regular polygons, use the formula: area = (ap)/2, where a is the apothem and p is the perimeter. To find the apothem, divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides.

### 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.

How do you find the area of a 5 sided polygon?

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 perimeter of polygon ABCD?

The perimeter of a polygon is the measured distance all the way around the figure. So, in order to find the perimeter of a polygon, we just add the lengths of each segment that makes up the figure. Ex 1) To find the perimeter of polygon ABCDE, we add the lengths of the sides. The perimeter of ABCDE is 24 cm.

How to calculate the area, perimeter of a polygon manually?

Write down the formula for finding the area of a regular polygon.

• Find the apothem of the polygon. If you’re using the apothem method,then the apothem will be provided for you.
• Find the perimeter of the polygon.
• Plug the apothem and the perimeter into the formula.
• ## How do you find the perimeter of a polygon?

Identify a polygon based on its properties

• Find the perimeter of any polygon
• Apply knowledge of regular polygons to calculate perimeter quickly
• What is the sum of the perimeter of a polygon?

The perimeter of a two-dimensional figure is the length of the boundary of the figure. If the figure is a polygon such as a triangle, square, rectangle, pentagon, etc., then the perimeter is the sum of the edge lengths of the polygon. For example, a square with side length 3 has perimeter 3 + 3 + 3 + 3 = 12.

### How to find the perimeter of a regular polygon?

Enter the number of sides and the side length in the input field

• Now click the button “Calculate” to get the perimeter value
• Finally,the perimeter of the regular polygon will be displayed in the output field