In a circle with center $C$ and radius $6 \sqrt{2} \mathrm{~cm}, P Q$ and $S R$ are two parallel chords separated by one of the diameters. If $\angle P Q C=45^{\circ}$, and the ratio of the perpendicular distance of $P Q$ and $S R$ from $C$ is $3: 2$, then the area, in sq. cm , of th

Question

In a circle with center $C$ and radius $6 \sqrt{2} \mathrm{~cm}, P Q$ and $S R$ are two parallel chords separated by one of the diameters. If $\angle P Q C=45^{\circ}$, and the ratio of the perpendicular distance of $P Q$ and $S R$ from $C$ is $3: 2$, then the area, in sq. cm , of the quadrilateral $P Q R S$ is

Accepted Answer

$20(3+\sqrt{14})$

CAT 2025 Slot 1 — QA Question 12

Answer & solution

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