Q:
The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?
Answer & Explanation
Answer: A) a(√2 –1)
Explanation:
Since we are forming a regular octagon
so AE = AL = FB = BG and so on
So AE = SB = x/√2
AE + EF + FB = side of square = a (Given)
So x/√2 + x + x/√2 = a
X = a/(√2+1) = a(√2 -1)
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