Circle on top of Circle - Find degrees Separation between 2 points

Mar 2020
2
0
34990
Ok. This is my first post here as I am looking for some help to solve what is probably an easy problem.

I've looked through the forum and can't find a problem similar to mine. So, I apologize in advance if I missed it, or if this is in the wrong section.

Here we go.

There are 2 discs (circles) that are to be stacked on top of each other with a their own sets of 360 degrees. They have to be stacked on one another in a particular manner.

Disc 1 has a 'Stack Location' of 299 degrees (A)

Disc 2 has a 'Stack Location' of 38 degrees (B)

So, when the 2nd disc is placed on top of the 1st, degree locations 299 and 38 from both discs will align. Diameters are the same and not relevant.

Now, here's the 2nd part:

Each disc also has another separate location on it.

Disc 1 has a location of 158 degrees (C)
Disc 2 has a location of 272 degrees (D)

Now, when both discs are stacked on top of each other at their stack locations, I would like to find a method to determine how many degrees apart locations C and D are from one another.

I have drawn this out and am able to visibly tell that C and D are extremely close to each other. But I need a way to figure out how many degrees apart they are from one another.

Thank you so much in advance.

Dave
 

mathman

Forum Staff
May 2007
6,932
774
Disc 1 offset = 158 - 299 = -141 or 360 - 141 = 219
Disc 2 offset = 272 - 38 = 234
net 15 deg. apart
 
Mar 2020
2
0
34990
Disc 1 offset = 158 - 299 = -141 or 360 - 141 = 219
Disc 2 offset = 272 - 38 = 234
net 15 deg. apart
Thank you for the speedy reply. I was sure it would be simple, just couldnt put my finger on it. Much appreciated!