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Turn in your homework and clear your desk for the QUIZ.

Area enclosed by Polar curves

The formula for area of polar graphs (or part of a polar graph) comes from the area of a sector of a circle…

Determine the area enclosed by the graph of r = 2 + 2sin . Answer: 6  Use the symmetry of the graph to change the bounds and constant to find the area.

Determine the area enclosed by the graph of r = 3 – 2cos . Answer: 11 

Determine the area enclosed by one petal on the graph of r = 3cos(3  ) Answer: 3  /4

Multiple Choice No Calculator

Given r 1 = 6sin  and r 2 = 2 + 2sin . Determine the area of the region inside r 1 but outside r 2. Answer: 4 

Calculator Active Determine the area of the region lying between the inner and outer loops of the limaςon r = 1 – 2sinθ. Ans:

Calculator Active Determine the area of the region lying outside the graph of r = but inside the graph of r = 2sin3θ. Ans: 1