1990 AIME Problems/Problem 12
Problem
A regular 12-gon is inscribed in a circle of radius 12. The sum of the lengths of all sides and diagonals of the 12-gon can be written in the form
![$a + b \sqrt{2} + c \sqrt{3} + d \sqrt{6},$](http://latex.artofproblemsolving.com/5/5/0/55005a9cbb9e5beb3816e1b71f0db8efd1407133.png)
where ,
,
, and
are positive integers. Find
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
1990 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |