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Star Gazing

Find the ratio of the outer shaded area to the inner area for a six pointed star and an eight pointed star.

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LOGO Challenge 9 - Overlapping Polygons

This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles

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Dodecawhat

Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

Two Regular Polygons

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

If the polygons are regular there are only certain size exterior angles that are possible.
Work systematically through those to see if you find some helpful possibilities.