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I Surface area of sphere

  1. Sep 16, 2016 #1
    I found this on the Internet . The formula is
    Surface Area = [tex] R^2 \displaystyle \int _0 ^ {2 \pi} \int _{0}^{\pi} \sin \theta d \theta d \phi [/tex]

    I'm wondering why the limit of θ is from 0 to π only ? why not from 0 to 2π ? Because it's a perfect sphere...

    Attached Files:

  2. jcsd
  3. Sep 16, 2016 #2


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    Are you familiar with spherical coordinates? It might help to study them. Think of latitude and longitude on the Earth. Longitude runs from -180 degrees to +180 degrees, so a full 360 degrees or 2π. Latitude however, only runs from -90 degrees to +90 degrees, so only 180 degrees or π. Whether it runs from +90 to -90 or 0 to 180 is a matter of convention.
  4. Sep 16, 2016 #3
    thanks , understand now !
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