A rectangle with the largest possible area is drawn inside a semicircle of radius 2 cm 2 , \text{cm} 2 cm . Then, the ratio of the lengths of the larg...

Question

A rectangle with the largest possible area is drawn inside a semicircle of radius

2cm2 , \text{cm}
. Then, the ratio of the lengths of the largest to the smallest side of this rectangle is:

Options

A.
2:12:1
B.
5:1\sqrt{5}:1
C.
1:11:1
D.
2:1\sqrt{2}:1
semicirclemaximum arearectanglescat 2023

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