# Set the set right!

**Geometry**Level pending

\(\{A\}\) is the largest possible set consisting of numbers selected from \(\{1, 2, 3,\ldots,2015\}\) such that any two elements in \(\{A\}\) can define the lengths of an isosceles triangle, each playing the role of either base or the two equal sides.

If the largest and smallest elements in \(\{A\}\) are selected to form the lengths of an isosceles triangle (with the largest element as the measure of the equal sides), what is the **difference** between the circumference of the circle which can be inscribed in this triangle and the the largest number in \(\{A\}\) (round to nearest whole number)?

This problem was adapted from the 2016 SMO Junior Round 2.