Calculators & Converters

    What is Area & Perimeter of Polygon having 9 sides and length 6

    Polygon CalculatorArea 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 sides9
    Side Length6 in
    Area A222.5457 in²
    Perimeter P54 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?
    Workout
    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

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