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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

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rafeds08Best ResponseYou've already chosen the best response.0
dw:1349246075538:dw
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
wow, that's not too easy, is it?
 one year ago

JakeV8Best 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
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
sorry, not "radius of square" (it's late) diagonal of square = radius of circle
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
I stand ready to be wow'd... please continue...
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
i mean thats the info needed to be given, then u can find the area
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
ok, I'm with you on that...
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
I thought you were about to pull some geometry magic...
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
expectations run high, ya know...
 one year ago

akash_809Best 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
 one year ago

akash_809Best ResponseYou've already chosen the best response.4
@rafeds08 solve the above equations to get the answer
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
I haven't solved, but that appears logical... well done :)
 one year ago

akash_809Best 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
 one year ago

JakeV8Best 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?
 one year ago

akash_809Best ResponseYou've already chosen the best response.4
dw:1349249269180:dw which symbol can u point it out....
 one year ago

akash_809Best 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.
 one year ago

JakeV8Best ResponseYou've already chosen the best response.0
never mind :) I just realized it's the label "r" on the second radius... my oops!
 one year ago

akash_809Best ResponseYou've already chosen the best response.4
@rafeds08 did u get the answer on solving the above equations
 one year ago

rafeds08Best ResponseYou've already chosen the best response.0
thus radius of big circle is 8
 one year ago
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