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ABCD is a square, in which a circle is i...

ABCD is a square, in which a circle is inscribed touching all the sides of square. In the four corners of square 4 smaller circles of equal radii are drawn, containing maximum possible area.

What is the ratio of the area of larger circle to that of sum of the areas of four smaller circles?
(a) `1 : (68 - 48 sqrt2)`
(b)`1 : 17 sqrt2`
(c)`3 : (34 - 12 sqrt2)`
(d)None of these

A

`1 : (68 - 48 sqrt2)`

B

`1 : 17 sqrt2`

C

`3 : (34 - 12 sqrt2)`

D

None of these

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The correct Answer is:
A
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