SOLUTION: A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the angle subtended by the arc, in both radians and degrees?

Question 564119: A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the angle subtended by the arc, in both radians and degrees?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the angle subtended by the arc, in both radians and degrees?
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theta(in radians) = arc length/radius = 3/2
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theta (in degrees) = (3/2)(180/pi) = 270/pi = 85.94 degrees
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Cheers,
Stan H.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The circumference is cm
The ratio of ( arc in radians ) / ( 2pi ) = ( 3 cm ) / ( 4pi )

Multiply both sides by

radians
------------------
I can say:

Multiply both sides by

-------------
The arc is 2/3 radians or 120/pi degrees
check:

Multiply both sides by

OK

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