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

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Sid @ askiitian · Answer

Hi Anushka Here in h = r sin &theta; , 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 &theta; = 90. which makes rectangle a square

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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.

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