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?
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