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Curves: others: the circle
A circular curve and a number of linear graphs are shown in green, together with the points where they cross. What is the largest circle you can find that does not cross any green lines?

Please enable Java for an interactive construction (with Cinderella).
largest radius:

a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
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