CPM Homework Help : CCG Problem 10-119

The circle at right is inscribed in a regular hexagon. Find the area of the shaded region.

Regular hexagon, with bottom side, labeled, 6 inches, with inscribed circle. The areas between the hexagon and the circle are shaded.

Hint:

Subtract the area of the circle from the area of the hexagon.

More Help:

Look at the diagram at right. What is the height of an equilateral triangle with sides of $6.0$ inches?

By connecting opposite vertices, the hexagon is divided into 6 equilateral triangles, with the sides of the equilateral triangles labeled, 6 inches. A dashed segment from the center to the middle of one side is labeled, h.