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From a square piece of a paper having each side equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of the original square is nearly:

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$\frac{4}{5}$

$\frac{3}{5}$

$\frac{5}{6}$

$\frac{6}{7}$

answer is A.

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Detailed Solution

Area of the square =(10)2=100 cm2

The largest possible circle would be as shown in the figure below :

Area of the circle

=227×(5)2=22×257

Required ratio

=22×257×100=2228=1114=0.785≈0.8=45

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