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Section 12.6 – Area and Arclength in Polar Coordinates

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Presentation on theme: "Section 12.6 – Area and Arclength in Polar Coordinates"— Presentation transcript:

1 Section 12.6 – Area and Arclength in Polar Coordinates
12.2

2 Integrals in Polar Coordinates
Area of a Polar Curve: 12.2

3 A graphic of the area inside one loop of the curve r = 2 Sin(3t)
A graphic of the area inside one loop of the curve r = 2 Sin(3t) but outside of the circle r = 1 A graphic of the area inside the curve r = 1 + Cos(2t) but outside the curve r = Cos(t).

4 The total area of the region enclosed
NO CALCULATOR by the polar graph of is

5 NO CALCULATOR

6 NO CALCULATOR: Find the area of the region inside the
circle r = 4 and outside

7 CALCULATOR REQUIRED The area of the region enclosed by the graph of the polar curve is 4.712 9.424 18.849 37.699 75.398

8 CALCULATOR REQUIRED The approximate total area of the region enclosed by the polar graph of is: 0.393 0.785 1.178 1.571 1.873

9 CALCULATOR REQUIRED Set up to definite integral to find the area inside the smaller loop of

10 CALCULATOR REQUIRED Find the area inside

11 Length of an Arc in Polar Coordinates

12 CALCULATOR REQUIRED

13 NO CALCULATOR


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