How do you find the measure of a central angle in degrees?

Question

kittiwitti1 · Answer

I'm not sure how to get degrees directly, but you can get the central angle in radians The formula for arc length $s$ of a circle with central angle $\theta$ and radius $r$ is$$\large{s=r\theta}$$To find the angle $\theta$ you must isolate it:$$\large{\theta=\frac{s}{r}}$$info link: http://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP-1-19_RESOURCE/U19_L2_T1_text_container.html

kittiwitti1 · Answer

Are you given the arc length in the problem?

jilltalks · Answer

I think I am supposed to find the arc length

wolf1728 · Answer

How is the problem worded?

jilltalks · Answer

It's a project about a Ferris wheel, the Singapore flyer.

kittiwitti1 · Answer

Hmm.
May we see the problem itself? Then we can help you work through it.

wolf1728 · Answer

If you gave us the problem we could help you a lot more.

jilltalks · Answer

There is no given problem. I am supposed to solve for the measure of a central angle of the Singapore flyer.

wolf1728 · Answer

Here's what Wikipedia says about the Singapore Flyer: https://en.wikipedia.org/wiki/Singapore_Flyer It has a height of 165 meters. Here is a central angle calculator: http://www.1728.org/radians.htm

jilltalks · Answer

I am using the calculator, but it asks me to input the arc length. The formula to find the ark length is the radius times the central angle. How do I find the central angle?

wolf1728 · Answer

It's like asking what's the distance if you drive for five hours.  You need more information than that.

jilltalks · Answer

Thank you for your help.

wolf1728 · Answer

Gee, I can help you more with that.

jilltalks · Answer

It's fine.  My question is too vague. I need to do a little research myself.

wolf1728 · Answer

Okay Jill.

thesmartone · Answer

I helped with this topic just today: http://openstudy.com/study#/updates/57ab674fe4b0a716cab3f61a Since the question is vague, I would assume you choose your own central angle.