area enclosed by smaller loop of r=1=2sin(X)

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1

<p>The x suppose to be an angle symbol, how do i tackle these kinda of problems?</p>

2

<p>use the polar integratin formula from pi/6 to 5pi/6</p>

<p>[Polar</a> coordinate system - Wikipedia, the free encyclopedia](<a href=“http://en.wikipedia.org/wiki/Polar_coordinate_system]Polar”>Polar coordinate system - Wikipedia)</p>

3

<p>are these free response or multiple choice</p>

4

<p>The area of a polar curve is the integral of 1/2 r^2 d8. The area between curves in general is top curve minus bottom curve. The intersects of these two curves is pi/6 and 5pi/6, like pollkfg said. just do int from pi/6 to 5pi/6 of 1/2 (2sinx - 1)^2 d8, and that’s your answer.</p>