Measuring the area of a circle?

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  • cgallery
    Veteran Member
    • Sep 2004
    • 4503
    • Milwaukee, WI
    • BT3K
    #31
    Originally posted by tseavoy
    Of course that is wrong. The area of that square will be pi/4 that of a circle, having the same perimeter which begs the question

    Mea Culpa

    Tom
    Oh yeah, woops. It looked good when I read it, though.

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      • gsmittle
        Veteran Member
        • Aug 2004
        • 2793
        • St. Louis, MO, USA.
        • BT 3100
        #32
        Originally posted by phi1l
        Don't worry about it, g, I'm sure some of these guys posting have has multiple semesters of calculus & differential equation & are just presenting here an abridged version of what was in their course books with out much descriptive narrative that helped them understand the concepts.
        Thanks for the kind words, Phil and Alex. I just barely passed Algebra .5 in high school, and that was the end of my math career. However, if you want to talk about the influence of Epic Theatre on modern playwriting, I'm your guy.

        All this talk of pi makes me crave some. Preferably apple. Or cherry. Or pecan. Or…

        g.
        Smit

        "Be excellent to each other."
        Bill & Ted

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          • Alex Franke
            Veteran Member
            • Feb 2007
            • 2641
            • Chapel Hill, NC
            • Ryobi BT3100
            #33
            Originally posted by gsmittle
            All this talk of pi makes me crave some. Preferably apple. Or cherry. Or pecan. Or…
            Oh, yeah. Crumb-top apple pie is the best. It doesn't get much better than that! We just celebrated my daughter's pi birthday last week with one of those. The bigger the area, the better!
            online at http://www.theFrankes.com
            while ( !( succeed = try() ) ) ;
            "Life is short, Art long, Occasion sudden and dangerous, Experience deceitful, and Judgment difficult." -Hippocrates

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              • cgallery
                Veteran Member
                • Sep 2004
                • 4503
                • Milwaukee, WI
                • BT3K
                #34
                Originally posted by Alex Franke
                Oh, yeah. Crumb-top apple pie is the best. It doesn't get much better than that! We just celebrated my daughter's pi birthday last week with one of those. The bigger the area, the better!
                What?

                http://www.elegantfarmer.com/products/pie.html

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                  • phi1l
                    Senior Member
                    • Oct 2009
                    • 681
                    • Madison, WI
                    #35
                    Originally posted by radhak
                    I would correct it to :
                    Get a piece of string, carefully place it around the circumference of the circle, tie it, pull the loop so it is in a straight line, measure that length and multiply by the radius. IOW, multiply the radius with half-the-circumference. That will be the area of the circle.

                    Neat way, but it pre-supposes the formulae for the circumference and the area using Pi (ie, it assumes A = Pi*R*R and C = 2*Pi*R to be true). Not easy with an argumentative 10-year-old .
                    Actually the only supposition is the definition of Pi = C/D.

                    As others have shown earlier the area of the circle can be proven to be A = (C/2)*R. or A = Pi*R*R

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