Geometry

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The area of a regular octagon is 25. What is the area of a regular octagon with sides five times as large as the sides of the first octagon?

  • Geometry -

    Area of octagon:

    A=2*[1+sqroot(2)]*a^2

    A1=Area of first octagon

    A1=25

    A2=Area of five time lager side octagon

    A1=2*[1+sqroot(2)]*a^2

    A2=2*[1+sqroot(2)]*(5a)^2

    A2=2*[1+sqroot(2)]*25*a^2

    A2/A1=2*[1+sqroot(2)]*25*a^2/2*[1+sqroot(2)]*a^2= 25

    A2/A1=25

    A2=25*A1= 25*25= 625

  • Geometry -

    In google type:
    Octagon

    When you see list of results click on wikipedia

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