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monitta
3 years ago
7

A square rests inside a regular octagon. Each shape has a side length measuring 9 inches.

Mathematics
1 answer:
maw [93]3 years ago
4 0
Area of the octagon = 8 * side length^2 / [4 * tan (180/8)]
Area of the octagon = 8 * 9^2 / [4 * tan(22.5)]
Area of the octagon = 648 / 4 * 0.41421
Area of the octagon = 648 / <span> <span> <span> 1.65684 </span> </span> </span>
Area of the octagon = <span> <span> <span> 391.1059607446 </span> </span> </span> square inches

Gray Area = <span> <span> <span> 391.105 minus square area
</span></span></span><span>Gray Area = 391.105 -81
</span>Gray Area = <span><span>310.105 square inches


Source:
http://www.1728.org/polygon.htm
</span> </span>



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