# Polygon Area & Perimeter Calculator

getcalc.com's **Polygon Formulas & Calculator** is an online basic geometry tool to calculate area & perimeter of any polygon shape having n number of sides, in both US customary & metric (SI) units.

## Steps to Find Area & Perimeter of a Polygon

The step by step workout for how to find what is the area and perimeter of a polygon.__Workout__

step 1 Address the formula input parameter and values

Number of side n = 5

Side Length S = 10 in

step 2 Find the perimeter of the polygon

Perimeter P = S x n

= 10 x 5 in

Perimeter P = 50 in

step 3 Apply the values in below formula

Area A = S x (Perimeter/2)2 tan (180/n)

= 10 x (50/2)2 tan (180/5)in²

= 10 x 252 tan (36)in²

= 2502 x 0.7265in²

= 2501.4531in²

Area A = 172.0477 in²

## Definition & Formulas

**Polygon** is a geometric shape on the two dimensional plane with more than 2 number of straight sides and angles.

Polygon's & Classification | |
---|---|

No. of Sides | Polygon Name |

3 | Triangle |

4 | Quadrangle |

5 | Pentagon |

6 | Hexagon |

7 | Heptagon |

8 | Octagon |

9 | Nonagon |

10 | Decagon |

11 | Undecagon |

12 | Dodecagon |

n | n-gon |