CAT 2025 Geometry & Mensuration Question (Easy)

Question

Adu and Amu have bought two pieces of land on the Moon from an e-store. Both the pieces of land have the same perimeters, but Adu’s piece of land is in the shape of a square, while Amu’s piece of land is in the shape of a circle.

The ratio of the areas of Adu’s piece of land to Amu’s piece of land is:

Optima Learn · Accepted Answer

Let the side of Adu s square land be s and the radius of Amu s circular land be r. Equal perimeters give 4s 2 pi r Rightarrow s 2 . Area of the square A_s s 2 left 2 right 2 4 . Area of the circle A_c pi r 2. Required ratio A_c pi r 2 4 . So the ratio is pi 4.

CAT 2025 Geometry & Mensuration — Previous Year Question

CAT 2025

Quantitative

Geometry & Mensuration

Easy

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