Show that any two points lying inside a regular
![n-](/media/m/f/a/e/fae563323c2368fde7e704b858164853.png)
gon
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
can be joined by two circular arcs lying inside
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
and meeting at an angle of at least
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Show that any two points lying inside a regular $n-$gon $E$ can be joined by two circular arcs lying inside $E$ and meeting at an angle of at least $\left(1 - \frac{2}{n} \right) \cdot \pi.$