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A central angle of a circle whose radius is 8 centimeters subtends an arc whose length is? 2π/9 centimeters.

What is the radian measure of the central angle?

 Apr 30, 2020
 #1
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We have that

 

arc length  = r * theta.....so

 

(2pi).9  = 8 * theta       divide  both sides by 8

 

(2pi) / ( 9 * 8)  = theta

 

(2/72)pi = theta

 

pi/36  =  theta  (in rads)

 

cool cool cool

 Apr 30, 2020

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