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QA – Placement Quizzes | Mensuration 2D | Question 15

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The circumference of a circle is 100 cm. The side of a square inscribed in the circle is: (A) 50(2^0.5) (B) 100/Pi (C) [50(2^0.5)]/Pi (D) [100(2^0.5)]/Pi

Answer: (C)

Explanation: Given, Circumference = 100cm 2*Pi*r = 100 r = 50/Pi. The diagonal of the square inscribed, D = 2r = 100/Pi. Area of the square = 1/2 * D^2 = 1/2 * (100/Pi)^2 Therefore, Side of the square = [ 1/2 * (100/Pi)^2 ]^0.5 = 1/(2^0.5) * 100/Pi = 50(2^0.5)/Pi.

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Last Updated : 28 Jun, 2021
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