Find the radius of a circle in which the central​ angle, a , intercepts an arc of the given lengt

Wade Bullock 2022-07-10 Answered
Find the radius of a circle in which the central​ angle, a, intercepts an arc of the given length s. Round to the nearest hundredth as needed.
a = 144 , s = 102
The​ length, s, of an arc intercepted by a central angle of radians on a circle of radius r is given by the formula below.
s = a r
This formula is only valid if a is measured in radians, so you must use the following formula to convert from degrees to radians.
d π 180
What I am confused about is that in the example guide that came along with the question, it gets 4 π 5 r a d from the degree to radian conversion. How did they get to that answer?
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Answers (1)

engaliar0l
Answered 2022-07-11 Author has 13 answers
144 ° = 144 × π 180 c = 4 π 5 c . Here x c represents an angle of x radians.
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