Mechanical design - trig question

[jan.didden]

Hi guys, a question that has nothing to do with audio per se, but needs some math/trig chops.
See attached drawing. I need to find the radius of the circle, given X, Y and offset O.
How do I do that? I guess only X and O are required?

Jan

 

[StevenCrook]

Got curious, did the obligatory, and got this.

 

[AllenB]

https://www.mathopenref.com/arcradius.html

 

[jan.didden]

Wow! That was fast guys. I get it, and the numbers I get seem to be OK.
Never thought to look it up on Google ...
Thanks,

Jan

 

[Mark Tillotson]

Yup, R = x^2/(8o) + o/2.

Proving involves some similar right-angle triangles, its not too obscure.

 

[jan.didden]

Yes, in hindsight it's obvious, the two congruent triangles.

Jan