CAT 2023 Geometry & Mensuration Question (Hard)

Question

A rectangle with the largest possible area is drawn inside a semicircle of radius . Then, the ratio of the lengths of the largest to the smallest side of this rectangle is

Accepted Answer

! rectangle inscribed in a semi-circle. https optima-learn.b-cdn.net quantPyqImages img_1751026228303_1.jpg Step-by-step solution --- Step 1 Given Semicircle radius cm Rectangle is inscribed in the semicircle We need largest possible area optimal dimensions Then find ratio of largest side to smalles

CAT 2023

Quantitative

Geometry & Mensuration

Hard

A rectangle with the largest possible area is drawn inside a semicircle of radius $2 \mathrm{~cm}$ . Then, the ratio of the lengths of the largest to the smallest side of this rectangle is

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