Equidistant Points

Directions: How many points with two integer coordinates are 5 units away from (-2, 3)?

Hint

Which methods are available to determine answers to this problem? What shape is defined by all of the points that are 5 units away (-2, 3)?

Answer

12 points: (-5, 7), (-7, 3), (-5, -1), (-2, -2), (3, 3), (1, -1), (-2, 8), (1, 7), (2,6), (-6, -6), (-6, 0), and (2, 0)

Source: Dylan Kane

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One comment

  1. Great problem, Dylan! I think the point (-6, -6) should be (-6, 6) in the answer.

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