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# Tag Archives: hexagon

## Diagonals in Octagons

How many more diagonals are in an octagon than in a hexagon? Source: NCCTM Mathematics Teacher SOLUTION We draw a diagonal by connecting two non-adjacent vertices. For example, is a diagonal but and are not. How many ways can we … Continue reading

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Posted in Problem solving
Tagged combinatorics, counting, diagonal, enumeration, geometry, grade 6, hexagon, octagon
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## Inscribed in a Circle

An equilateral triangle and regular hexagon are inscribed in the same circle. Find the ratio of the area of the triangle to that of the hexagon. Source: mathcontest.olemiss.edu 12/7/2009 SOLUTION First, rotate the equilateral triangle around center of the circle … Continue reading

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Posted in Problem solving
Tagged angle bisector, area, circumcircle, equilateral triangle, geometry, grade 8, hexagon, perpendicular bisector, ratio
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