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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
 

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,

\\Area = 2rsin(2t) \\$where t is the angle subtended by radius with perpendicular to sides$ \\$sin(2t) is maximum at 2t=90 $=>$ t=45 degree which is square$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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