CAT 2020 Geometry & Mensuration Question (Medium)

Question

A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of the circle to the area of the rhombus is

Accepted Answer

Step 1 Diagonals of rhombus 12 cm and 16 cm Half diagonals 6 cm and 8 cm Side of rhombus cm Step 2 Radius of inscribed circle height of right triangle formed by side and radius Equate areas cm So, cm ! triangle https optima-learn.b-cdn.net quantPyqImages img_1751025899210_13.jpg ! rhombus https opti

CAT 2020

Quantitative

Geometry & Mensuration

Medium

A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of the circle to the area of the rhombus is

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