Difference between revisions of "2013 AMC 10A Problems/Problem 25"
(→Solution) |
Countingkg (talk | contribs) |
||
| Line 1: | Line 1: | ||
| + | ==Problem== | ||
| + | |||
All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior | All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior | ||
of the octagon (not on the boundary) do two or more diagonals intersect? | of the octagon (not on the boundary) do two or more diagonals intersect? | ||
<math> \textbf{(A)}\ 49\qquad\textbf{(B)}\ 65\qquad\textbf{(C)}\ 70\qquad\textbf{(D)}\ 96\qquad\textbf{(E)}\ 128 </math> | <math> \textbf{(A)}\ 49\qquad\textbf{(B)}\ 65\qquad\textbf{(C)}\ 70\qquad\textbf{(D)}\ 96\qquad\textbf{(E)}\ 128 </math> | ||
| + | |||
| + | ==Solution== | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{AMC10 box|year=2013|ab=A|num-b=24|after=Last Problem}} | ||
Revision as of 21:21, 7 February 2013
Problem
All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior of the octagon (not on the boundary) do two or more diagonals intersect?
Solution
See Also
| 2013 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 24 |
Followed by Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
