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A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.

What is the radian measure of the central angle?

 May 15, 2020
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The full arc of the circle is 2·pi·25 cm  =  50·pi cm.

 

The arc is only 5·pi/12.

 

The portion of the circle is:  ( 5·pi/12 ) / ( 100·pi )  =  1 / 120

 

This angle represents 1/120th o the circle which is (1/120)·2 pi  =  pi/60

 May 15, 2020

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