SOLUTION: Give the radian measure of the central angle of a circle of radius 8 and subtended by an arc of measure 2. Please show me a solution to the problem. Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: Give the radian measure of the central angle of a circle of radius 8 and subtended by an arc of measure 2. Please show me a solution to the problem. Thank you.      Log On


   

Question 1038799: Give the radian measure of the central angle of a circle of radius 8 and subtended by an arc of measure 2. Please show me a solution to the problem. Thank you.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
Give the radian measure of the central angle of a circle of radius 8 and subtended by an arc of measure 2.
Please show me a solution to the problem. Thank you.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

S = R%2Atheta   (where S is the length of an arc)

Substituting,

2 = 8%2Atheta

theta = 2%2F8 = 1%2F4 rad

Notice to the sender: In this context it would be better to formulate the problem like this:

Give the radian measure of the central angle of a circle of radius 8 highlight%28cross%28and%29%29 subtended by an arc of highlight%28cross%28measure%29%29 the length 2.