Diagonals of a Heptagon

Geometry Level pending

Let the length of the longest diagonal of a regular unit heptagon be \(a\) and the length of the shortest diagonal be \(b\). Find the value of \(100(a-b)\) rounded to the nearest integer.

You may use a calculator that can perform standard trig functions (\(\sin\), \(\cos\), and \(\tan\)).

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