A Trigonometry Problem

Question

0

1570

3

+1904

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°

gibsonj338 Sep 20, 2017

Guest · Answer 1 · 2017-09-20T06:10:51

0

r=12

Guest Sep 20, 2017

+1904

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

Alan · Answer 2 · 2017-09-20T08:18:38

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).