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Is there someway to find the exact area of a blob using integrals?

  1. Feb 26, 2012 #1
    Someone told me Isaac Newton developed some infinitesimal triangle series to find the area of a random blob, but I think there might be some way to do it this way by drawing many lines from a central point to the edge, although that would make more of a pie slice, but is there some way to calculate the area of that pie slice using relative integrals?
  2. jcsd
  3. Feb 27, 2012 #2


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    Yes, it is simple if you can write the boundary of the "blob" in terms of integrable functions! That's the hard part.
  4. Feb 27, 2012 #3
    But what about it being in the shape of a pie slice? The range is just from x1 to x1?
  5. Feb 27, 2012 #4
    A pie slice would be simple. You integrate in polar coordinates over the radius and angle. The boundaries are then (assuming a normal slice of pie): radius (0,r_o) and angle (0, theta)
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