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In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?


In The Figure The Larger Circle Has Dia 40 Units And The Sma...


Options:
A .   717 
B .   7+317 
C .   8+419
D .   829
E .   Cannot be determined
Answer: Option C
:
C

In The Figure The Larger Circle Has Dia 40 Units And The Sma...


From the above figure,  Now BRO is a right angled triangle. Solving for x, we get


X=  22 - 4 19


Side length of a square = 8 + 4 19



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