A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle. (Hint: remember Corollary 1--the area of an equilateral triangle is 1/4 s2 √3.)

Question

A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.  (Hint: remember Corollary 1--the area of an equilateral triangle is 1/4 s2 √3.)

anonymous · Answer

maybe you can find the radius of the circle by looking at one of the triangles that make up the inscribed hexagon.  That will allow you to get the whole circle area, and 1/6 of that area falls in the "pie piece" that includes the triangle.

Then, if you have the area of that triangle, subtract it from the pie piece to get the segment in question.

anonymous · Answer

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