puzzling diameter question

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coolgirl26: Senior | Next Rank: 100 Posts; Posts: 71; Joined: Tue Mar 03, 2009 1:24 pm

by coolgirl26 » Wed Mar 04, 2009 6:16 pm

how do u get that answer?

How can the area be mroe if
the diagonal is on a square

so shoudlnt it be the same length of the side s is

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Source: Beat The GMAT — Problem Solving | Wed Mar 04, 2009 6:16 pm

Kebab: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Sun Mar 01, 2009 10:44 pm; Location: Canada

by Kebab » Wed Mar 04, 2009 6:45 pm

area T = 2 area S

Diagonal and two sides make the right triangle with sides: 1:1: sqr.root2
radius T = sqr.root/2, radius S = 1/2
count the areas and u get the difference of 2

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NareshCS: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sun Jan 11, 2009 10:47 pm

Diameter

by NareshCS » Wed Mar 04, 2009 9:55 pm

Identify there are 3 figures Circle S, Circle T and a Square
Diameter of Circle S(d1) = side of Square
Diameter of Circle T(d2) = Diagonal of Square
Diagonal of Square = sqrt2* Side of Square
d2=sqrt(d1)
Area of Circle = (pi/4)*(diameter)^2
(Area of Circle S) =(pi/4)*(d1)^2
(Area of Circle P)= (pi/4)*(d2)^2
= (pi/4)*(sqrt 2*d1)^2
=(pi/4)*2*(d1)^2
=2*Area of Circle S

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