SarkariPYQ

SSC MTS 2024 PYQ — Question 1

SSC MTS - 07/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q1

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What is the area of the remaining portion of a circle of radius 14 cm when a square with maximum possible area inscribed in it is removed from it? (Use π= 22/7)

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 224 cm2.

Areacircle​ = πr2 = 22/7​ × 142 = 22/7​ × 196 = 22 × 28 = 616 cm2 

Radius = 14 cm ⇒ Diameter = 2r = 28 cm

Diagonal of square = s2 = 2 \sqrt{2}

s = 28/2 \sqrt{2}  = 142 \sqrt{2}  

Areasquare ​ = s2 = (142 \sqrt{2} )2 = 196 × 2 = 392 cm2 

Remaining Area = Areacircle​ − Areasquare​ = 616 − 392 = 224 cm2​