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\(15\) children are given tags numbered from \(1\) to \(15\) and are seated in a circular formation in the increasing

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by VJesus12 » Tue Jan 05, 2021 11:06 am
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\(15\) children are given tags numbered from \(1\) to \(15\) and are seated in a circular formation in the increasing order of their respective tag numbers. The total area covered by the circular formation is \(36\pi\) square units and the distance between any two neighboring children in the formation is equal. If the number of children seated between the child with tag number \(m\) and the child with tag number \(1\) is equal to the number of children seated between the child with tag number \(m\) and the child with tag number \(15,\) what is the minimum distance covered along with the circular formation by the child with tag number \(1\) to reach the child with tag number \(m -2\) and then go back to his original position?

(A) \(4\pi\)
(B) \(6\pi\)
(C) \(8\pi\)
(D) \(12\pi\)
(E) \(18\pi\)

Answer: C

Source: e-GMAT
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