All the arcs in the following diagram are semi-circles. This diagram shows two paths connecting A to B. Path I is the single large semi-circle and Path II consists of the chain of small semi-circles.
A
Path I is longer than Path II
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B
Path I of the same length of Path II
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C
Path I is shorter than Path II
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D
Path I is of the same length as Path II. Only if the number of semi circles is not more than 4
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Solution
The correct option is A Path I is longer than Path II Let the length of AB be d
So the radius of larger semi circle is d2 and the radius of smaller semi circle is d8