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

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

Grade:

1 Answers

Sid @ askiitian
44 Points
11 years ago

Hi Anushka

2216_10490_Circle problem.JPG

Here in  h = r sin θ , 

The area of a rectangle ie. length * breadth or

{BD X (AO +CO)}  ie {2r X (h+h)}

by dividing rectangle in two half triangles and calculating each. (half X base X Height) X 2

will be maximum when h will be max. and h is maximum only when θ = 90.

which makes rectangle a square

 

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