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Question

A square is inscribed in a circle of radius 2 cm. Side of the square in cm is:

A
2
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B
2 2
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C
4 2
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D
2 3
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Solution

The correct option is B 2 2


Square is inscribed in a circle therefore Diagonal of square is the diameter of a circle.
By the property of square all four sides are equal in length.
So, AB=BC=CD=DA.
Also, ADC=90.
By applying Pythagoras theorem;
AC2=AD2+CD2;
But AD=CD.
Thus, AC2=AD2+AD2
Hence, AC=2AD
AD=12AC
AD=124
AD=22cm
therefore side of square is 22cm
option B is answer.

833475_108022_ans_cd339e7a31c745adb8138ff64c6589e9.png

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