Mathematics

Mathematics

Problem

For 0≤θ≤π0\le\theta\le\pi, the curve r=4sin⁡θr=4\sin\theta encloses a region outside r=2sin⁡θr=2\sin\theta. What is the exact area of the region between these two curves on this interval? a) 3π2\dfrac{3\pi}{2} b) 3π3\pi c) 6π6\pi d) π\pi

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