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In the given fig. Square is inscribed in a circle of diameter D & other square is circumstances of the circle . Is the area of the outer square 4 times it inner square . Reason for your answer

Posted by Kk Ss 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 9 months ago

Let side of square be 'a'
Area of square is a²
Diagonal of sqare is √{a²+a²}
Or √2a
So diameter of circle is equal to diagonal of sqare.
Then diameter=√2a
Radius(r)=√2a/2
=a/√2
Area of circle=πr²
=π{a/√2}²
=πa²/2
Ratio of area of square and area of circle =
a²:πa²/2
=1:π/2
=2:π

thus the ration is 2:1 and the larger circle is not 4 times the small one.

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