Homework 30 – Area and Arc Length in Polar Coordinates 1) Calculate the area of the circle 4 as an integral in polar coordinates. Be careful to choose the correct limits of integration. 2) Find the area of the shaded region in the figure below, using polar coordinates. 3) Consider the cardioid 1, shown below. a) Find the total area enclosed by the cardioid. b) Find the area of the shaded region. 4) Consider the figure below. a) Find the area of the shaded region A. b) Find the area of the shaded region B. 2cosr r = 15) Find the area of the shaded region in the figure below. 6) Find the area of the inner loop of the limacon with polar equation 12. 7) Set up an integral to compute the length of one loop of the polar curve
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