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Quantitative Aptitude

Area Based Approach

Let ABC be a ...

Question

Let ABC be a right-angled isoscles 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

$9 π - 18$

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$9 π$

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Solution

The correct option is B
18

Area of region between BPC and BQC is nothing but the area of right angled triangle $A B C = \frac{1}{2} \times 6 \times 6 = 18$ sq. units

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Let ABC be a right-angled isoscles 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

The correct option is B 18 Area of region between BPC and BQC is nothing but the area of right angled triangle ABC=12×6×6=18 sq. units

The correct option is B
18

Area of region between BPC and BQC is nothing but the area of right angled triangle $A B C = \frac{1}{2} \times 6 \times 6 = 18$ sq. units