The 2 circles of radius "r" are resting on a horizontal plan. A smaller circle is housed in the gap of the two bigger circles as shown. What is the radius of the smaller circle?
Answer:
join the center of the bigger circle with point of contact with the other bigger circle.
Let x be the radius of the smaller circle.
Therefore, (r + x)2 = r2 + (r – x)2
Or, x = r/4
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