How Long Is The Arc Subtended By An Angle Of 5pie/3 Radians On A Circle With A Radius Of 12 Cm?

How long is the arc subtended by an angle of 5pie/3 radians on a circle with a radius of 12 cm?

 

Answer:

20π cm = 62.83 cm

Step-by-step explanation:  

How long is the arc subtended by an angle of 5pie/3 radians on a circle with a radius of 12 cm?

Given: ∅ = 5π/3  radians

           r = 12 cm

Required: length of the arc (S)

Solution:

S = r × ∅                   (be sure that ∅ is in radians )

S = (12 cm) × (5π/3)  

S = 20π cm = 62.83 cm