Four points A, B, C and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle is
Explanation:
The ant will not go into the circles with centers B and C and radius = 1 m
The minimum distance that the ant has to traverse = the distance of the path A-H-G-D
HG = 1 m
AH = GD = 14 × Circumference of circle = π2
AH + GD = π m
∴ The ant must traverse (1 + π)m.
Hence, option (b).
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