Question

Suppose circle B, with a radius of 10 feet, has an angle ABC in standard position. Find the radian measure of the angle ABC with arc AB measuring 5pi/17 feet. Round to the nearest hundredth using 3.14 for pi.
A: 9.24
B: .09
C: .92
D: None of these
E: .94
Please help me! I dont understand what to do! It would be really nice if I could get the answer and how you did the problem so that way I can use this as a reference to other problems like this! thank you so much for your time and consideration!

Answer 1

so the radius is 10
the arc's length is \(\bf \cfrac{5\pi}{17}\)

so \(\bf s = r\theta \implies \theta = \cfrac{s}{r}\)

Answer 2

I feel like I understand, would it be C: .92?

Answer 3

well, the arc's length is, yes

Answer 4

I drew a diagram and it might help you understand it better