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Question 111
A one-rupee coin is placed on plain paper. How many coins of the same size can be placed round it so that each one touches the central and adjacent coins?
Solution
When 3 congruent circles touch each other externally, the triangle formed with their centers is an equilateral triangle. Hence when a circle is surrounded by identical circles, centers of two consecutive circles make an angle of 60° with the central circle. Thus, six identical circles a surround a circle of equal radius.
=> Ans - (D)
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