How Long Is The Arc Subtended By An Angle Of, Radians On A Circle With A Radius Of 12 Cm?

How long is the arc subtended by an angle of\frac{5\pi }{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 \frac{5\pi }{3} radians on a circle with a radius of 12 cm?

given: ∅ = 5π/3

           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


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