TS EAMCET · Maths · Properties of Triangles
The perimeter of a sector is a constant. If its area is to be maximum, the sectorial angle is :
- A \(\frac{\pi^c}{6}\)
- B \(\frac{\pi^c}{4}\)
- C \(4^c\)
- D \(2^c\)
Answer & Solution
Correct Answer
(D) \(2^c\)
Step-by-step Solution
Detailed explanation
Let length of sector is land radius of sector is \(r\). \(\therefore \quad l=\frac{2 \pi r \theta}{360^{\circ}}\) Perimeter of sector \(P=\frac{2 \pi r \theta}{360^{\circ}}+2 r\)…
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