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# A Trigonometry Problem

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Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.

01. r = 27 inches, s = 6 inches

02. r = 14.5 centimeters, s = 25 centimeters

Find the length of the arc on a circle of radius r intercepted by a central angle $$\Theta$$.

03.  r = 15 inches, $$\Theta$$ = 180°

04.  r = 3 meters, $$\Theta$$ = 60°

Sep 20, 2017

#1
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r=12

Sep 20, 2017
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Huh?  What kind of an answer is that?  If you do not know the answer to these questions, then do not answer.

gibsonj338  Sep 20, 2017
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By definition the angle in radians is given by arc length/radius, i.e. $$\theta = s/r$$

So, for 01:  $$\theta = 6/27 \rightarrow 0.222 \text{ radians}$$

See if you can now do the others (don't forget to convert degrees to radians first in 03 and 04).

Sep 20, 2017