SOLUTION: Find the measure (in radians) of a central angle θ that intercepts an arc on a circle of radius r with indicated arc length s. r=12 in., s=14 in. θ = ? Answer s

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Question 1127399: Find the measure (in radians) of a central angle θ that intercepts an arc on a circle of radius r with indicated arc length s.
r=12 in., s=14 in.
θ = ?
Answer should be in exact and simplified form. Thanks!

Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.
From Geometry,  the arc length is the radius times the central angle in radians


    s = r%2Atheta.


From this formula,  theta = s%2Fr = 14%2F12 = 7%2F6 radians.


Thus the central angle is by 1%2F6 radian more than  one radian. 

Solved.