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Let ABCD be rectangle and a semicircle be drawn with AB as the diameter, externally to the rectangle. If the perimeter of the figure so obtained is a constant p and the figure has the maximum possible area, then the ratio of the rectangular portion to the area of the rest of the figure is (A) 2:pi (B)pi:2 (C)pi:4 (D)4:pi PLEASE NEEDED URGENT REPLY

 
Let ABCD be rectangle and a semicircle be drawn with AB as the diameter, externally to the rectangle. If the perimeter of the figure so obtained is a constant p and the figure has the maximum possible area, then the ratio of the rectangular portion to the area of the rest of the figure is
(A) 2:pi
(B)pi:2
(C)pi:4
(D)4:pi
PLEASE NEEDED URGENT REPLY

Grade:12th pass

1 Answers

K Keerthirajan
38 Points
8 years ago
Answer is (A)
Solution:
Let AB = r
Area of rectangle : Area of Semicircle
r2 : pir2/2
Therefore, 2 :pi

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