2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8

Problem

Suppose we draw circles of radius $r$ with centers at every point in the plane with integer coordinates. What is the smallest $r$ such that every line with slope $2/7$ has a point in common with at least one of these circles?

Solution

See also

2015 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions

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