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Octagon Calculator
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Octagon Calculator is an online tool used to find area and perimeter of the octagon. Octagon Calculator is valid only for regular octagon.
Octagon
Octagon is one of the shapes of polygon. It is a closed plane shape and also enclosed by straight sides. The eight straight sides are also same. Octagon has eight same angles. In octagon, there are eight vertices and eight edges. The interior angle is 135 degree in the octagon shape.
 

Step by Step Calculation

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Step 1 :  

Octagon Formula's


 


Area of the Octagon


 


A = 2 * a2 * ( 1 + $\sqrt{2}$ )


 


Where a = side length


 


Perimeter of the Octagon


 


P = 8 * a



Step 2 :  

Put the values in the above formula's and solve it further.



Example Problems

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  1. Find the area and perimeter of the octagon for the value of side length is 7 cm.


    Step 1 :  

    Given: The length of side of the octagon is 7 cm


     


    Area of the Octagon


     


    A = 2 * a2 * ( 1 + $\sqrt{2}$ )


     


    Where a = side length


     


    Perimeter of the Octagon


     


    P = 8 * a



    Step 2 :  

    Put the values in the above formula's and solve it further.


     


    Area of the Octagon


     


    A = 2 * 72 * ( 1 + $\sqrt{2}$ ) 


     


    A = 2 * 49 * (1 + 1.4142)


     


    A = 236.59 cm2


     


    Perimeter of the Octagon


     


    P = 8 * a


     


    P = 8 * 7 cm


     


    P = 56 cm




    Answer  :  

    Area of the Octagon = 236.59 cm2

     

    Perimeter of the octagon = 56 cm



  2. Find the area and perimeter of the octagon for the value of side length is 11 m.


    Step 1 :  

    Given: The length of side of the octagon is 11 m


     


    Area of the Octagon


     


    A = 2 * a2 * ( 1 + $\sqrt{2}$ )


     


    Where a = side length


     


    Perimeter of the Octagon


     


    P = 8 * a




    Step 2 :  


    Put the values in the above formula's and solve it further.


     


    Area of the Octagon


     


    A = 2 * 112 * ( 1 + $\sqrt{2}$ ) 


     


    A = 2 * 121 * (1 + 1.4142)


     


    A = 584.23 m2


     


    Perimeter of the Octagon


     


    P = 8 * a


     


    P = 8 * 11 m


     


    P = 88 m





    Answer  :  

    Area of the Octagon = 584.23 cm2

     

    Perimeter of the octagon = 88 m



More Octagon Calculator
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