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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.)

 Dec 21, 2016
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Using  

 

s = rθ        s = arc lengh   r = radius    θ is in rads

 

6 = 5θ  

 

6/5  rads  = θ 

 

Converting rads to degrees, we have :

 

(6/5) *180 / pi  ≈  68.8°   [rounded]

 

 

 

cool cool cool

 Dec 22, 2016

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