Clear your desk for the Quiz. Arc Length & Area Arc Length The length of a continuous curve r(θ) on the interval [  ] is equal to.

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Presentation transcript:

Clear your desk for the Quiz

Arc Length & Area

Arc Length The length of a continuous curve r(θ) on the interval [  ] is equal to

Determine the length around the graph of r = 3 – 3sin(θ)

Determine the distance around one petal of the graph of r = 3sin(2θ)

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

Calculator Active Determine the area of the region lying between the inner and outer loops of the limaςon r = 1 – 2sinθ. Ans: 8.337

Homework BLUE BOOK Pg #s 1, 3, 4, 7, 9, 11, 43, 46, 49