If an equilateral triangle has the same perimeter as a circle of radius 12m , calculate the length of one side of the equilateral (take π =3.14)
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The perimeter of an equilateral triangle of side 'a' is,
a+a+a=3a(All sides are equal in an equilateral triangle)
The circumference of a circle is 2πr
r=12cm
It is given that the circumference of the circle is equal to the perimeter of the equilateral triangle
Hence,
3a=2*3.14*12(π=3.14)
a=2*3.14*12/3
a=8*3.14
a=25.12cm
Hence the side of the equilateral triangle is equal to 25.12cm.
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