SOLUTION: Find S if r=2 inches and theta=12 degrees

Question 368712: Find S if r=2 inches and theta=12 degrees
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!
The arc length s is given by the radius times the angle theta, or

s=r*theta

But the key to this problem is that we need to know the measure of theta in RADIANS!

So 12 degrees equals how many radians?

12 degrees = [(pi/180)*12]radians or

theta=pi/15 radians

So, our arc length is given by

s=r*theta

s=2*(pi/15)

s=(2*pi)/15 inches

which you can approximate using the value of 3.1415926... for pi.

I hope this helps!

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