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 =(49* 360^o)/(2\pi* 14)=200.64^o`

convert to rad:

`\tt 1^o=(\pi)/(180^o)rad\\\\200^o=(200^o\pi)/(180^0)rad=\boxed{\bold{3.48~rad}}`