I've been stumped on this question for hours please help ASAP

Question

Select the correct answer from the drop-down menu.

If , the ratio of the length of  to the length of  is 1/6, 1/4, 3/2, or 3/4.

Answer 1

When the central angle is given in radians, like it is in your problem, then the length of any arc is:

arc length = (central angle) x radius

So for arc DE:

arc DE length = (2.36) x AD

For arc BC:

arc BC length = (1.18) x AB

We are given that AD = (2/3) AB, so AB = (3/2) AD. WE can substitute this into the arc length for BC:

arc BC length = (1.18)(3)(AD) / 2

Now take the ratio. Note that 1.18/2.36 = 1/2 and AD/AD = 1:

BC/AD = (1.18)(3)(AD) / (2)(2.36)(AD) = (1)(3)(1) / (2)(2)(1) = _____?