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I am aware of the formula.. but can someone give me a clear definition of what the total area enclosed by a polar curve represents. Thanks

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closed as off-topic by Michael Albanese, Claude Leibovici, BlackAdder, Live Forever, hardmath Dec 30 '14 at 6:55

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Michael Albanese, Claude Leibovici, BlackAdder, hardmath
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Draw the polar curve on the plane; see the part of it that is "inside"; that's what the "area enclosed by the polar curve" is. – Arturo Magidin Mar 9 '11 at 5:12
Why does the title say "total area enclosed by a polar curve and the x-axis" and the question "total area enclosed by a polar curve"? Those are two different things. – joriki Mar 9 '11 at 5:42
If you put together the comments from Arturo and joriki I think you have an answer. If the question is the title and the curve is $r=1$, take the part of the area where $\cos(\theta)\ge 1$. I share their frustration with the conflict. – Ross Millikan Mar 9 '11 at 6:09