**Area and perimeter of pentagon: **In the previous article, we have discussed Python Program to Compute the Area and Perimeter of Octagon

**Pentagon:**

**Pentagon perimeter formula: **A pentagon (from the Greek v Pente and gonia, which mean five and angle) is any five-sided polygon or 5-gon. A simple pentagon’s internal angles add up to 540°.

A pentagon can be simple or complex, and it can be self-intersecting. A pentagram is a self-intersecting regular pentagon (or a star pentagon).

**Formula to calculate the perimeter of a pentagon:**

**Examples:**

**Example1:**

**Input:**

Given The Pentagon's side length = 10

**Output:**

The Pentagon's area with given side length { 10 } = 172.0477400588967 The Pentagon's Perimeter with given side length { 10 } = 50

**Example2:**

**Input:**

Given The Pentagon's side length = 5.5

**Output:**

The Pentagon's area with given side length { 5.5 } = 52.04444136781625 The Pentagon's Perimeter with given side length { 5.5 } = 27.5

## Program to Compute the Area and Perimeter of Pentagon in Python

**Perimeter of pentagon formula: **Below are the ways to Calculate the area and perimeter of a pentagon with the given Pentagon’s side length:

### Method #1: Using Mathematical Formula (Static Input)

**Approach:**

- Import the math module using the import keyword.
- Give the Pentagon’s side length as static input and store it in a variable.
- Calculate the area of the given pentagon using the above given mathematical formula and math.sqrt() function.
- Store it in another variable.
- Calculate the perimeter of the given pentagon using the above given mathematical formula.
- Store it in another variable.
- Print the Pentagon’s area with the given side length.
- Print the Pentagon’s perimeter with the given side length.
- The Exit of the program.

**Below is the implementation:**

# Import the math module using the import keyword. import math # Give the Pentagon's side length as static input and store it in a variable. side_len = 10 # Calculate the area of the given pentagon using the above given mathematical formula and # math.sqrt() function. # Store it in another variable. pentgn_area = (math.sqrt(5*(5+2*math.sqrt(5)))*pow(side_len, 2))/4.0 # Calculate the perimeter of the given pentagon using the above given mathematical formula. # Store it in another variable. pentgn_perimtr = (5*side_len) # Print the Pentagon's area with the given side length. print( "The Pentagon's area with given side length {", side_len, "} =", pentgn_area) # Print the Pentagon's perimeter with the given side length. print( "The Pentagon's Perimeter with given side length {", side_len, "} =", pentgn_perimtr)

**Output:**

The Pentagon's area with given side length { 10 } = 172.0477400588967 The Pentagon's Perimeter with given side length { 10 } = 50

### Method #2: Using Mathematical Formula (User Input)

**Approach:**

- Import the math module using the import keyword.
- Give the Pentagon’s side length as user input using float(input()) function and store it in a variable.
- Calculate the area of the given pentagon using the above given mathematical formula and math.sqrt() function.
- Store it in another variable.
- Calculate the perimeter of the given pentagon using the above given mathematical formula.
- Store it in another variable.
- Print the Pentagon’s area with the given side length.
- Print the Pentagon’s perimeter with the given side length.
- The Exit of the program.

**Below is the implementation:**

# Import the math module using the import keyword. import math # Give the Pentagon's side length as user input using float(input()) function and # store it in a variable. side_len = float(input('Enter some random number = ')) # Calculate the area of the given pentagon using the above given mathematical formula and # math.sqrt() function. # Store it in another variable. pentgn_area = (math.sqrt(5*(5+2*math.sqrt(5)))*pow(side_len, 2))/4.0 # Calculate the perimeter of the given pentagon using the above given mathematical formula. # Store it in another variable. pentgn_perimtr = (5*side_len) # Print the Pentagon's area with the given side length. print( "The Pentagon's area with given side length {", side_len, "} =", pentgn_area) # Print the Pentagon's perimeter with the given side length. print( "The Pentagon's Perimeter with given side length {", side_len, "} =", pentgn_perimtr)

**Output:**

Enter some random number = 5.5 The Pentagon's area with given side length { 5.5 } = 52.04444136781625 The Pentagon's Perimeter with given side length { 5.5 } = 27.5

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