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avatar+1900 

Please show step by step how you got to your answers to the following problems.

 

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
 #2
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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
 #3
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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

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