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Re: The perimeter of quadrilateral ABCD [#permalink]
3
Carcass wrote:
Attachment:
circle.jpg


Quantity A
Quantity B
The perimeter of the quadrilateral
ABCD
The circumference of the circle


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Here,

Circumference of this circle can be written as = arc AB + arc BC + arc CD + arc DA


and the arc AB > AB , similarly arc BC > BC, arc CD > CD and arc DA >DA

i.e. AB + BC + CD + DA < arc AB + arc BC + arc CD + arc DA

hence the perimeter of the quadrilateral ABCD < Circumference of the circle
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