Polygon (Area & Perimeter) Calculator
getcalc.com's polygon 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. Students may use this polygon calculator to generate work with steps for any other similar input values.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
Polygon & Formulas
Polygon is a geometric shape on the two dimensional plane with more than 2 number of straight sides and angles. K-12 students may refer the below formulas to know what are all the input parameters are being used to find the area, perimeter & side of polygon.
| 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 |
Problems on Finding the Area & Perimeter of Polygon
