+0

# A Trigonometry Problem

0
69
3
+1790

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°

gibsonj338  Sep 20, 2017
Sort:

#1
0

r=12

Guest Sep 20, 2017
#2
+1790
0

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
+26236
+3

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).

Alan  Sep 20, 2017

### 22 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details