CAT 2017 Geometry & Mensuration Question (Hard)

Question

Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq. cm, of the region enclosed by BPC and BQC is

Accepted Answer

Given ABC is a right-angled isosceles triangle with hypotenuse BC and right angle at A. AB AC 6 cm. A semicircle BQC away from A has diameter BC. An arc BPC is part of the circle centered at A passing through B and C. Goal find the area of the region enclosed by BPC and BQC. Solution step-by-step 1.

CAT 2017

Quantitative

Geometry & Mensuration

Hard

Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq. cm, of the region enclosed by BPC and BQC is :

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