All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
From Tangent to Circle (Posted on 2017-01-04) Difficulty: 2 of 5
The line Ax+By=C (with C nonzero) is tangent to some circle centered at the origin.

What is the radius of that circle in terms of A, B, and C?
What is the point of tangency in terms of A, B, and C?

No Solution Yet Submitted by Brian Smith    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: solution for part 2; outline for part 1 | Comment 2 of 4 |
(In reply to solution for part 2; outline for part 1 by Charlie)

Given Charlie's start, the rest can be done in my head.

The point of tangency simplifies to 
a*c / (a^2+b^2), b*c / (a^2+b^2)

The radius is therefore
sqrt(a^2+b^2)* c/(a^2+b^2)


Edited on January 5, 2017, 8:26 am
  Posted by Steve Herman on 2017-01-04 16:45:34

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information