II. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A and B be points of intersection as shown in the figure below. 1. Find the polar coordinates of A and B. # 2. Given that C₂ passes the pole at 8 = - and 0, set up the (sum of) integrals that give the shaded region's a. perimeter b. area (Hint: C₂ is ymmetric with respect to the polar aris.)

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