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Question: Answered & Verified by Expert
In the figure PQ, PO1 and O1Q are the diameters of semicircles C1, C2 and C3 with centres at O1, O2 and O3 respectively and the circle C4 touches the semicircles C1,C2 and C3. If PQ=24 units and the area of the circle C4 is A sq. units, then the value of 8πA is equal to here, PO1=O1Q. If your answer is K, mark 2K as answer after rounding off to nearest integer.
MathematicsCircleJEE Main
Solution:
1025 Upvotes Verified Answer
The correct answer is: 1

Let the point of contact of C4 & C1 is A, center of C4 is O4 & radius is equal to r
AO1=12O1O4=12-r
Also, O4O3=r+6 and O1O3=6
r+62=12-r2+36
36r=144r=4A=16π
8πA=8π16π=12=0.5

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