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Question

If a square is inscribed in a circle, then the ratio of the areas of the circle and the square is

A
π:2
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B
2:π
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C
πr:2
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D
2:πr
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Solution

The correct option is A π:2
Let side of square = a
radius of circle = r
From OEB
OEB is right angled triangle
Applying pythagoroes theorem
OE2+EB2=OB2
(a2)2+(a2)2=r2
2a24r
a2=2r2
a=2r2
AreaofcircleAreaofsquare=πr2a2=πr22r2=π:2
1169001_330929_ans_dd42a521f12e4041ab2b30ec35ce7f1c.png

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