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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

Manvendra Singh chahar , 11 Years ago
Grade Upto college level
anser 1 Answers
SHAIK AASIF AHAMED

Last Activity: 10 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
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