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Consider the regular 9-gon as shown in figure, Which area is larger: the grey or the white?

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Consider the regular 9-gon as shown in figure, Which area is larger: the grey or the white?

Which area is larger: the grey or the white

posted May 26, 2017 by Chahat Sharma

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1 Answer

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enter image description hereSHADED AREA IS MORE THAN UNSHADED AREA
This involves a great deal of tedium,
I have solved it graphically.
First make a regular polygon with 9 sides each 10 units with auto cad.
Measure the diagonals.
Using excel find the areas of the four type of triangles.
The sum of the shaded areas comes to 313.63975 units and of unshaded 304.5427 units

answer Jun 15, 2017 by Kewal Panesar



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