An arc AB of a cricle subtends an angle x radians at the centre O of t – InterviewSolution

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1.	An arc AB of a cricle subtends an angle x radians at the centre O of the circle, Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the volume of x.
Answer» SOLUTION :Let ARC AB =s Given that area of the SECTOR AOB =`(arcAB)^2` `:.s=1/2 r^2x=s^2` and s=rx `(becausetheta=x)` therefore 1/2 r^2x=r^2s^2`or x=1/2 radian

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