Isoperimetrical

A triangle,a circle,and a square are isoperimetrical.Arrange the areas in increasing way.

Please urgent.

1 Answers

For a circle ... 2âˆ©x = r [ where r is the common perimeter for all figs. ]

x = r/2âˆ© .... Area of circle = âˆ©*x² = r²/4âˆ©

For a square ... sides of square = r/4

Area os sq. = (r/4)² = r²/16

For a triangle ... sides = r/3

Area of triangle = r²/(12âˆš3)

Now compare the denominators .... lesser denominator value has larger area ....

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