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    xwagat's Avatar
    xwagat Posts: 1, Reputation: 1
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    #1

    Oct 25, 2012, 11:11 PM
    Prove that the area of a circle is half the product of its circumference and radius
    To prove that the area of a circle is half the product of its circumference and radius with the help of practical
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 26, 2012, 05:44 AM
    What level of mathematics is this for? If you're in high school geometry I would suggest one technique, which relies on knowing that the area of a circles is . If you're in a calculus class I would suggest a different approach that derives the value for the area from basic principles.
    RPVega's Avatar
    RPVega Posts: 29, Reputation: 2
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    #3

    Oct 27, 2012, 02:01 AM
    Area of a circle = A = (pi) * (r ^ 2)
    Circumference of a circle = C = 2 * (pi) * r
    A = (1/2) * C * r = (1/2) * (2 * (pi) * r ) * r
    A = (pi) * (r ^ 2) Q.E.D.

    "Q.E.D." stands for "quod erat demonstrandum," which is Latin
    for "which was to be demonstrated." The acronym "Q.E.D." is used
    often in math textbooks. :)
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