CTET 2 Math and Science Feb 2016 Paper

Question : 46 of 120

Marks: +1, -0

A square and a circle are formed using pieces of wire of length 5024 cm each. The ratio of the area of the square to that of the circle is

Solution:

Length of wire = 5024
Perimeter of square = length of wire

⇒4a=5024

∴ a = side of square

=5024/4

Now circumference of circle = length of wire

⇒2πr=5024

∴r=\;\;{5024}/{2π}

Required ratio

=\;\;{5024}/{4}×\;\;{5024}/{4}:π×\;\;{5024}/{2π}×\;\;{5024}/{2π}

=π:4

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