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show that of all the rectangles inscribed in a fixed circle ,the square has the maximum area

show that of all the rectangles inscribed in a fixed circle ,the square has the maximum area

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1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
10 years ago
Area = 2rsin(2t) where t is the angle subtended by radious with perpendicular to sides

sin(2t) is maximum at 2t=90 => t=45 degree which is square

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