Question

(Trignometry, need help please.) A dog is tethered to a 14 foot leash. She travels around an arc of 49 feet. What is the radian angle she has rotated through? (Reporting bots.)​

Answer 1

Element of Circle

the central angle (α) =  (the length of the arc x 360°)/2πr (r = radius)

$\alpha =\dfrac{49\times 360^o}{2\pi\times 14}=200.64^o$

convert to rad:

$\tt 1^o=\dfrac{\pi}{180^o}rad\\\\200^o=\dfrac{200^o\pi}{180^0}rad=\boxed{\bold{3.48~rad}}$