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rafeds08
Group Title
Two squares are inscribed in a semicircle, as shown. The area of the
smaller square is 16. What is the area of the larger square?
 2 years ago
 2 years ago
rafeds08 Group Title
Two squares are inscribed in a semicircle, as shown. The area of the smaller square is 16. What is the area of the larger square?
 2 years ago
 2 years ago

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rafeds08 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349246075538:dw
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
wow, that's not too easy, is it?
 2 years ago

TheMind Group TitleBest ResponseYou've already chosen the best response.0
not enough info
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349246702016:dw
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
that geometry could give you a radius of the larger square, if you knew anything at all about the dimensions or area
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
sorry, not "radius of square" (it's late) diagonal of square = radius of circle
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
dw:1349246849703:dw
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
I stand ready to be wow'd... please continue...
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
i mean thats the info needed to be given, then u can find the area
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
ok, I'm with you on that...
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
I thought you were about to pull some geometry magic...
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
expectations run high, ya know...
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
dw:1349248195417:dw i hope the following figure solves it , let y be the length of side of big square, then \[ r=\sqrt{y^2+(y^2/4)}\] and also from the other traingle \[r=\sqrt { 16+(4+y/2)^2 }\] equate both the equations and solve for y ,and ares of bigger square is y^2
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
@rafeds08 solve the above equations to get the answer
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
I haven't solved, but that appears logical... well done :)
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
thanks @JakeV8 , i haven't solved it either but i think solving these equations will give the answer
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
I agree... good eye to see another way to define "r". Nitpick... looks like you drew a right angle symbol on the inside of the larger triangle with sides r, y, and y/2, situated along the other radius line drawn toward the smaller circle. This appears misplaced, or the symbol is something else, or I don't get it (option c is always a good guess)... Can you explain?
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
dw:1349249269180:dw which symbol can u point it out....
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
@JakeV8 i just used the orignal diagram, but icant seem to find the symbol u r talking abt, to me it clearly looks that both the triangles are right angled.
 2 years ago

JakeV8 Group TitleBest ResponseYou've already chosen the best response.0
never mind :) I just realized it's the label "r" on the second radius... my oops!
 2 years ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.4
@rafeds08 did u get the answer on solving the above equations
 2 years ago

rafeds08 Group TitleBest ResponseYou've already chosen the best response.0
they told me its 64
 2 years ago

rafeds08 Group TitleBest ResponseYou've already chosen the best response.0
thus radius of big circle is 8
 2 years ago
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