Length of Diagonal in Regular Hexagon

Consider a regular hexagon inscribed in a circle, with each side measuring 10 cm. If a diagonal connects two non-adjacent vertices of the hexagon, what is the length of this diagonal?

Recall that the length of a diagonal in a regular polygon can be computed using the formula:

$$ D = s imes rac{n}{2} $$

where:

• D is the length of the diagonal
• s is the length of a side of the polygon
• n is the number of sides of the polygon