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

Revision as of 03:54, 12 January 2019 by Timneh (talk | contribs) (Created page with "== Problem == Suppose we draw circles of radius <math>r</math> with centers at every point in the plane with integer coordinates. What is the smallest <math>r</math> such tha...")
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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 (Problems • Answer Key • Resources)
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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