The graph of the polar graph $r=\dfrac{4}{2-\cos\theta}$ forms a closed curve. Find the area of the region inside the curve.
2026-03-29 19:11:20.1774811480
What is the area of the closed curve?
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Hint
It is an ellipse $4(x^2+y^2)=16+8x+x^2$, and its area is $\pi ab$