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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

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  1. rafeds08 Group Title
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    |dw:1349246075538:dw|

    • 2 years ago
  2. JakeV8 Group Title
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    wow, that's not too easy, is it?

    • 2 years ago
  3. rafeds08 Group Title
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    yes

    • 2 years ago
  4. TheMind Group Title
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    not enough info

    • 2 years ago
  5. JakeV8 Group Title
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    |dw:1349246702016:dw|

    • 2 years ago
  6. JakeV8 Group Title
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    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
  7. JakeV8 Group Title
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    sorry, not "radius of square" (it's late) diagonal of square = radius of circle

    • 2 years ago
  8. hartnn Group Title
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    |dw:1349246849703:dw|

    • 2 years ago
  9. JakeV8 Group Title
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    I stand ready to be wow'd... please continue...

    • 2 years ago
  10. hartnn Group Title
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    i mean thats the info needed to be given, then u can find the area

    • 2 years ago
  11. JakeV8 Group Title
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    ok, I'm with you on that...

    • 2 years ago
  12. JakeV8 Group Title
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    I thought you were about to pull some geometry magic...

    • 2 years ago
  13. JakeV8 Group Title
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    expectations run high, ya know...

    • 2 years ago
  14. akash_809 Group Title
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    |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
  15. akash_809 Group Title
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    @rafeds08 solve the above equations to get the answer

    • 2 years ago
  16. JakeV8 Group Title
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    I haven't solved, but that appears logical... well done :)

    • 2 years ago
  17. akash_809 Group Title
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    thanks @JakeV8 , i haven't solved it either but i think solving these equations will give the answer

    • 2 years ago
  18. JakeV8 Group Title
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    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
  19. akash_809 Group Title
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    |dw:1349249269180:dw| which symbol can u point it out....

    • 2 years ago
  20. akash_809 Group Title
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    @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
  21. JakeV8 Group Title
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    never mind :) I just realized it's the label "r" on the second radius... my oops!

    • 2 years ago
  22. akash_809 Group Title
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    @rafeds08 did u get the answer on solving the above equations

    • 2 years ago
  23. rafeds08 Group Title
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    they told me its 64

    • 2 years ago
  24. rafeds08 Group Title
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    thus radius of big circle is 8

    • 2 years ago
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