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
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(52847) (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 = .
From this formula, = = = radians.
Thus the central angle is by radian more than one radian.