Area of a Segment in a Circle

Learn how to find the Area of a Segment in a circle in this free math video tutorial by Mario's Math Tutoring. We explain what a segment area is and go through and example using different formulas.

0:18 We discuss exactly what a segment area is in a circle
1:05 Example 1 finding area of the segment

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

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Saving me right now, I have my exam tomorrow and this is the thing I just didn't remember from class.

[bunkernuts]

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[ellaerickson]

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[doublemark]

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[chantingngng]

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I really appreciate this

[alana.g]

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[ryanbrotherston]

There is a easy way just to do 1/3 times Pi times (4 squared)-the area of the triangle which is (half times base times height)

it works

[sashime]

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[sandalsera]

This helped me a lot!!! Very short but helpful explanation. Thank you!!!

[niklaseldevik]

USEFUL RULE:
When a sector is 120deg, and you split it into a triangle and a segment, then the middle of the longest side of the triangle will intersect exactly in the middle of the radius and the perimeteter
Example: In a 120deg sector, where the radius is 10, splitting the sector into a triangle and a segment, then the height of the triangle will be 5

[discoloredpig]

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[LutonTownSuppremacy]

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[trevorwilson]

Mario, you did a clear presentation of the problem and it will be helpful to many students. Thanks.
However, real life is more complicated. In the case of finding the remaining volume in a horizontal cylindrical tank, all you would know is the diameter of the tank and the depth of the remaining fluid. How would a person calibrate a dipstick for such a tank? That's a much more general version of the problem. It's easy to tell when the tank is either full or empty, but there is an infinite number of possibilities in between.

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