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    Help find area of shaded section thx

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    (Original post by RDKGames)
    Help find area of shaded section thx

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    Please post what you've tried so far.
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    I've seen this picture going the rounds, so I'm guessing it's not actual coursework, more a bit of fun,

    I think it's pretty obvious the area of the top right shaded region is the only tricky thing.

    So, I sketch solved it by forming an integral for that area and then got wolfram alpha to find the actual integral.

    I feel dirty now.

    A slightly more elegant method would be to find the area of the part of the circle that lies in the top right quadrant of the rectangle and below the diagonal line. 25 - that value will be the area of the shaded top right region. You should be able to decompose that part of the circle into a triangle and a sector, but I feel I'd actually need to draw a diagram for that though (the horror)!

    Don't know if there's an elegant trick, but I'm not sure there's anything too elegant given what kind of form I think the answer has to take.
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    Don't click if you want to do this yourself.

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    lol apologies guys I posted this on the GCSE thread for a bit of fun, I wasn't expecting this to get its own thread - I solved this problem in summer with basic GCSE methods so I thought it's quite interesting for other GCSE students to give a try
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    (Original post by RDKGames)
    lol apologies guys I posted this on the GCSE thread for a bit of fun, I wasn't expecting this to get its own thread - I solved this problem in summer with basic GCSE methods so I thought it's quite interesting for other GCSE students to give a try
    It probably wasn't appropriate to be the first question in a thread designed for GCSE students who may be intimidated by the prevalence of A Level questions
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    (Original post by notnek)
    It probably wasn't appropriate to be the first question in a thread designed for GCSE students who may be intimidated by the prevalence of A Level questions
    Yeah, I'm sure we could find some IMO problems that technically only require GCSE maths.
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    In fact, the most infamous IMO problem ever (IMO 1988 Problem 6) has a solution that a bright GCSE student should be able to understand:

    http://www.cs.cornell.edu/~asdas/imo.../isoln886.html

    (Not saying that solution as it stands is totally GCSE accessible, but it wouldn't take much to fix that).
 
 
 
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