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.

Explanation

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