JEE Advanced Mathematics question
Not in JEE syllabus
A piece of paper is in the shape of a square of side 1 metre. It is cut at the four corners to make a regular polygon of eight sides (octagon). The area of the polygon is
Answer: (A)
Solution
*(Figure: unit square with an isosceles right triangle of legs cut off at each corner; each cut edge has length .)*
For a regular octagon all sides are equal, so along each side of the square: .
Area $= 1 - 4
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