CAT 2024 Geometry & Mensuration Question (Medium)

Question

A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm , of the square ACEG is

Accepted Answer

Step 1 In a regular octagon, joining every alternate vertex like forms a square inside the octagon. The side of square is equal to the diagonal of a square formed between two adjacent sides of the octagon. Using trigonometry or geometric construction, the diagonal length between alternate vertices i

CAT 2024

Quantitative

Geometry & Mensuration

Medium

A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm , of the square ACEG is

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