GATE 2018 ME (ME2) – Question 7
A wire would enclose 1936 m² if bent into a square. It is cut into two pieces, the longer three times the shorter. The longer is bent into a square and the shorter into a circle. Which is closest to the sum of enclosed areas in m²?
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Correct answer: (C) 1243
Explanation
The original square has side $\sqrt{1936}=44$ m and perimeter 176 m. The 3:1 split gives 132 m and 44 m. New square area is $(132/4)^2=1089$ m². Circle area is $44^2/(4\pi)=154.06$ m². Total is **1243.06 m²**, closest to **C**.