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 = 102The 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 rThis 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?

Question

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  =  102The​ 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  rThis 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?

engaliar0l · Accepted Answer

144      °    =  144  ×            π      180        c    =                    4        π            5        c    . Here       x    c   represents an angle of   x radians.

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

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