The circumference of a circle is 2\pi cm then the area of a square inscribed in the circle is

EPFO 2017 English Medium Solved Paper

Question : 120 of 121

Marks: +1, -0

The circumference of a circle is

2π

cm then the area of a square inscribed in the circle is

Solution:

Given,
Circumference of circle=

2π

cm⇒

2πr

2π

∴ r=1

∵ Diagonal of square = Diameter of circle

=2× r=2

cm
Hence, area of square=

(\diagonal)^{2}/2=(2)^{2}/2

=4/2=2cm^{2}

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