A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)

Question

A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)

θ =  ?? °

Find the measure of θ in radians. (Round your answer to two decimal places.)

θ =  ?? rad

Answer 1

The arc is 6/5 of one radian

One radian = 180 / π degrees

(6/5)(180/π) = 216 / π

216 / π = 68.75493542