What is Area & Perimeter of Polygon having 9 sides and length 6
Area and perimeter of polygon is 222.5457 and 54 respectively whose side length is 6 and number of side is 9, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Number of sides | 9 |
| Side Length | 6 in |
| Area A | 222.5457 in² |
| Perimeter P | 54 in |
Work with Steps to find Area & Perimeter of Polygon with n = 9 & s = 6
Question:
Find what is the area and perimeter of a polygon having 9 number of sides each measuring 6 inches?
WorkoutFind what is the area and perimeter of a polygon having 9 number of sides each measuring 6 inches?
step 1 Address the formula input parameter and values
Number of side n = 9
Side Length S = 6 in
step 2 Find the perimeter of the polygon
Perimeter P = S x n
= 6 x 9 in
Perimeter P = 54 in
step 3 Apply the values in below formula
Area A = S x (Perimeter/2)2 tan (180/n)
= 6 x (54/2)2 tan (180/9)in²
= 6 x 272 tan (20)in²
= 1622 x 0.364in²
= 1620.7279in²
Area A = 222.5457 in²
