GATE CS 2018 Set 1 — Question 3
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
The area of a square is . What is the area of the circle which has the diagonal of the square as its diameter?
Correct answer
(D) (1)/(2) π d
Solution
1.Let the side of the square be . The area of the square is given as .
2.The diagonal of the square is .
3.The diameter of the circle is equal to the diagonal of the square, so .
4.The radius of the circle is .
5.The area of the circle is .
6.Substituting , we get .
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