SOLUTION: in a circle of radius 96.4 inches, what is the central angle that subtends a stand of 40.3 inches?

Algebra ->  Trigonometry-basics -> SOLUTION: in a circle of radius 96.4 inches, what is the central angle that subtends a stand of 40.3 inches?       Log On


   

Question 1033765: in a circle of radius 96.4 inches, what is the central angle that subtends a stand of 40.3 inches?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
This is an arc length problem.
The formula for these is
Arc length = %28%28theta%29%2F360%29%2A2%28pi%29r
Plugging in what we know, we look for theta...
40.3+=+%28%28theta%29%2F360%29+%2A+%282%2Api%2A96.4%29
If you do that calculation carefully, see if you can get
theta+=+23.95 degrees