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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?
  • a)
    a ( √2 – 1)
  • b)
    a ( √3 – 1)
  • c)
  • d)
    a/3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The corners of a square of side ‘a’ are cut away so as to ...

Let side of hexagon be x
AE2 + AL2 = LE2 
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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Most Upvoted Answer
The corners of a square of side ‘a’ are cut away so as to ...

Let side of hexagon be x
AE2 + AL2 = LE2 
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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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?a)a ( √2 – 1)b)a ( √3 – 1)c)d)a/3Correct answer is option 'A'. Can you explain this answer?
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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?a)a ( √2 – 1)b)a ( √3 – 1)c)d)a/3Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about 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?a)a ( √2 – 1)b)a ( √3 – 1)c)d)a/3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)a ( √2 – 1)b)a ( √3 – 1)c)d)a/3Correct answer is option 'A'. Can you explain this answer?.
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