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Question: Answered & Verified by Expert
Aflower in the form of a sector has been fenced by a wire of $40 \mathrm{~m}$ length. If the flower-bed has the greatest possible area, then what is the radius of the sector? $\quad$
MathematicsApplication of DerivativesNDANDA 2018 (Phase 2)
Options:
  • A $25 \mathrm{~m}$
  • B $20 \mathrm{~m}$
  • C $10 \mathrm{~m}$
  • D $5 \mathrm{~m}$
Solution:
2317 Upvotes Verified Answer
The correct answer is: $10 \mathrm{~m}$
$\quad \ell+2 r=40$


Area is maximum, when $\ell+2 r=20 \Rightarrow r=10$

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