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

Home > Shapes
More Than Four Tangent Circles (Posted on 2024-01-11) Difficulty: 4 of 5
Inside a particular isosceles triangle there are four congruent unit circles (radius=1) tangent along its base. The circles on the end are also tangent to the lateral sides of the triangle.
Then a circle of radius R is tangent to the two middle unit circles and the two lateral sides of the triangle.
Finally one more unit circle is placed atop the larger circle tangent to it and the two lateral sides.

What is the radius of the large circle?
Can you generalize for N circles along the base?

For comparison, the classic problem Four Tangent Circles is a version of this one with only two unit circles at the base.

No Solution Yet Submitted by Brian Smith    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
solnSteven Lord2024-01-13 14:52:17
No SubjectJer2024-01-12 13:11:33
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information