A regular hexagon has each side 14 cm. A circle is drawn through all six of its corners. Find the area of that circle in ${\text{cm}}^2$. Take π = 22/7.

A regular hexagon splits into six equilateral triangles whose equal sides are the radii drawn to the corners, so the circle through the corners has radius equal to the side, 14 cm. Area = $(22/7)\times 14^2=(22/7)\times 196=616{\text{cm}}^2$.