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Grade Upto college level Engineering Entrance Exams

The perimeter of a certain sector of a circle is equal to the length of the arc of a semi-circle having the same radius, the angle of the sector is A. 65o 24' B. 64o 24' C. 63o 24' D. 62o 24

Profile image of Manvendra Singh chahar
12 Years agoGrade Upto college level
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1 Answer

Profile image of SHAIK AASIF AHAMED
12 Years ago
Hello student,
perimeter of sector = 2\pirA/360 + 2r
Here, A = angle of sector
And, length of arc of semi-circle of same radius = \pir
Thus,
\pirA/180 + 2r = \pir
On solving,
A = 180(1 - 2/\pi) taking \pi= 22/7
We get, A = 720/11
Hence A is the correct answer
Thanks and Regards
shaik Aasif
askIITians faculty

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