Q45 of 157 Page 819

A square ABCD is inscribed in a circle of radius ‘r’. Find the area of the square.

Given: Radius of circle = r

Ques45.bmp


Diagonal of Square = 2r


∵ Side of Square =


∴ Side = = √2r


Area of Square = Side × Side


= √2r × √2r


= 2r2


Hence, the area of square is ‘2r2’ square units.


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