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Home > CCG > Chapter 10 > Lesson 10.3.1 > Problem 10-119

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.

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

Look at the diagram at right. What is the height of an equilateral triangle with sides of 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 line from the middle of one side to the middle of the opposite side is labeled, h.