Çözüldü Circular Arc Length - Trigonometric Integration

Konusu 'Limit ve Süreklilik,Türev,İntegral' forumundadır ve Honore tarafından 13 Mart 2026 başlatılmıştır.

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  1. Honore

    Honore Yönetici Yönetici

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    For the classic exam with calculators allowed at science high school:

    Using analytic geometry, write the integral computation for the length of the arc of a circle of radius 5 units if the arc subtends a central angle of 2.4 radians.

    [​IMG]
    https://i.ibb.co/YBjyBTsN/integral-WA.png
    https://www.wolframalpha.com/input?i=5*(integrate dx / sqrt(25-x^2) from x = 5cos(2.4)..5)
    (Solving the above integral is homework for the interested students.)

    Original Question and Geometric Solution:
    [​IMG]
    https://i.ibb.co/ccKHFzb5/circular-arc-length.png
    "Everything You Need to Score High on SAT II Math"
    https://z-library.sk/book/Bj44Dk48j3/everything-you-need-to-score-high-on-sat-ii-math.html
    [Page 58 (68 in the pdf file), Question 4]

    Note: Verification of the question by the AI at www.mathful.com is attached.

    Ekli Dosyalar:

    Honore, 13 Mart 2026
    #1

    2. Benzer Konular: Circular Length
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