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A circle of diameter 8 cm is placed in s...

A circle of diameter 8 cm is placed in such a manner that it touches two perpendicular lines. Then another smallerr circle is placed in the gap such that it touches the lines and the circle. What is the diameter of the smaller circle?

A

`4 ( 3- sqrt( 2)) cm`

B

`4 ( 3-2sqrt(2)) cm`

C

`8 ( 3- sqrt(2)) cm`

D

` 8 ( 3- 2 sqrt( 2)) cm`

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