Corners of a square or triangle cut off to form a regular octagon or hexagon
This type of question, asked 3 times: CDS 2 2019, CDS 2 2023, CDS 2 2026. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2019
76The corners of a square of side 'a' are cut away so as to form a regular octagon. What is the side of the octagon ?Tap an option to check your answer.
Question 2
CDS 2 2023
54The corners of an equilateral triangular plate were cut in such a manner that it forms a regular hexagonal plate. What is the ratio of the area of the triangular plate to the area of the hexagonal plate ?Tap an option to check your answer.
Question 3
CDS 2 2026
59A square of side length 4 cm has its corners cut away in such a manner so as to form a regular octagon. What is the length of the side of the octagon ? (Take = 1.41)Tap an option to check your answer.