What is Area & Perimeter of Polygon having 12 sides and length 10
Area and perimeter of polygon is 1119.6152 and 120 respectively whose side length is 10 and number of side is 12, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Number of sides | 12 |
| Side Length | 10 in |
| Area A | 1119.6152 in² |
| Perimeter P | 120 in |
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?
WorkoutFind what is the area and perimeter of a polygon having 12 number of sides each measuring 10 inches?
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
