# What is Area & Perimeter of Polygon having 12 sides and length 10

## Work with Steps to find Area & Perimeter of Polygon with n = 12 & s = 10

__Question:__

Find what is the area and perimeter of a polygon having 12 number of sides each measuring 10 inches?

__Workout__

step 1 Address the formula input parameter and values

Number of side n = 12

Side Length S = 10 in

step 2 Find the perimeter of the polygon

Perimeter P = S x n

= 10 x 12 in

Perimeter P = 120 in

step 3 Apply the values in below formula

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

= 10 x (120/2)2 tan (180/12)in²

= 10 x 602 tan (15)in²

= 6002 x 0.2679in²

= 6000.5359in²

Area A = 1119.6152 in²