Element of Circle
the central angle (α) = (the length of the arc x 360°)/2πr (r = radius)
[tex]\alpha =\dfrac{49\times 360^o}{2\pi\times 14}=200.64^o[/tex]
convert to rad:
[tex]\tt 1^o=\dfrac{\pi}{180^o}rad\\\\200^o=\dfrac{200^o\pi}{180^0}rad=\boxed{\bold{3.48~rad}}[/tex]