Question

17. A square is inscribed in a circle. Find the ratio of the areas of the circle
and the square.

urgent pls ans..
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Answer 1

Answer:

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ANSWER

Let ABCD be a square inscribed in a circle of radius 'r'. Now, the diameter of circle is the diagonal of square.

Therefore, BD=2r. In △BDC, using Pythagoras theorem

BC

2

+CD

2

=BD

2

⇒a

2

+a

2

=(2r)

2

⇒2a

2

=4r

2

⇒a

2

=2r

2

∴Area of square=2r

2

Area of circle=πr

2

Required ration=πr

2

:2r

2

=π:2

Answer 2

Answer:

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