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anonymous

  • one year ago

Using geometry to calculate a definite integral - I know how to do this generally (calculate the area) but for this question the graph is a semicircle and I have to find the area of part of the semicircle! Not sure how to do this one..

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  1. anonymous
    • one year ago
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    \[\int\limits_{-0.5}^{0} \sqrt{1-x^2} dx\] this is the definite integral (i made an error in the original post - it's a definite integral that i have to find!)

  2. anonymous
    • one year ago
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    |dw:1444175151872:dw| and this is a very rough drawing of what i know the graph looks like - the shaded part is the area i know i need to calculate!

  3. anonymous
    • one year ago
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    You can compute the area of the segment (the new shaded region), then subtract it from half the circle's area. |dw:1444175486963:dw|

  4. anonymous
    • one year ago
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    ... and divide by 2, of course, to only count the red region.

  5. anonymous
    • one year ago
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    |dw:1444175617048:dw|

  6. anonymous
    • one year ago
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    Thanks so much!

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