Calculators & Converters

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

    Polygon CalculatorArea 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 sides12
    Side Length10 in
    Area A1119.6152 in²
    Perimeter P120 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?
    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

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