Question:
Four points A,B,C,D on a line: AB=BC=CD, length AB=1m. Ant at A to reach sugar at D, but repellents at B and C: ant cannot come within 1m of repellents.
Four points A,B,C,D on a line: AB=BC=CD, length AB=1m. Ant at A to reach sugar at D, but repellents at B and C: ant cannot come within 1m of repellents.
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When detouring around points, arc length replaces direct path segments.
Updated On: Jul 31, 2025
- $3\sqrt{2}$
- $1+\pi$
- $\frac{4\pi}{3}$
- 5
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The Correct Option is B
Solution and Explanation
Ant must go around semicircles of radius 0.5 m at B and C, plus straight segments. Two semicircles total length = $\pi$. Plus initial 1 m → $1+\pi$.
\[
\boxed{1+\pi}
\]
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