Use a graphing utility to graph the polar equation. inner loop of $r = 8 - 12 \sin(\theta)$ Find the area of the given region. (Round your answer to four decimal places.)
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We set $r = 0$ and solve for $\theta$. $0 = 8 - 12 \sin(\theta)$ $\sin(\theta) = \frac{2}{3}$ $\theta = \arcsin(\frac{2}{3})$ and $\theta = \pi - \arcsin(\frac{2}{3})$. Show more…
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