SOLUTION: Find the length of an arc that subtends a central angle of 335° in a circle of radius 25 ft. (I have spent 10 hours trying to get the right answer)

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Question 1156247: Find the length of an arc that subtends a central angle of 335° in a circle of radius 25 ft.
(I have spent 10 hours trying to get the right answer)

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

The length of any arc of a circle is


    S = r%2Aalpha,


where "r" is the radius of the circle and alpha is the measure of the central angle in radians.


In your case

    alpha = 2%2Api%2A%28335%2F360%29 = 2%2Api%2A0.930.


therefore

    S = 25%2A2%2Api%2A0.930 = 25*2*3.14*0.930 = 146.01 ft.     ANSWER

Solved.