AP EAMCET · Maths · Application of Derivatives
If the area of a circular sector of perimeter \(60 \mathrm{~m}\) is to be maximized, then its radius must be......... m
- A \(20\)
- B \(15\)
- C \(10\)
- D \(5\)
Answer & Solution
Correct Answer
(B) \(15\)
Step-by-step Solution
Detailed explanation
Given, the perimeter of circular sector \(=60 \mathrm{~m}\) Let radius be \(r \mathrm{~m}\). Length of \(\operatorname{arc} \mathbf{A B}=l\) \(\begin{aligned} \therefore \text { perimeter }(p) & =l+2 r \\ l & =p-2 r\end{aligned}\)…
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