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Areas of Plane Figures 11-6 Arc Lengths and Areas of Sectors

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Presentation on theme: "Areas of Plane Figures 11-6 Arc Lengths and Areas of Sectors"— Presentation transcript:

1 Areas of Plane Figures 11-6 Arc Lengths and Areas of Sectors
11-7 Ratios of Areas A ____________ of a circle is a region bounded by two radii and an arc of the circle.

2 Length of In general, if : Length of Area of sector

3 Example 1 Find the length of and the area of the shaded sector. A 45°
B 8

4 Example 2 Find the length of and the area of the shaded sector. A 3 B

5 Example 3 Find the length of and the area of the shaded sector. A B 10
30°

6 Example 4 Find the length of and the area of the shaded sector. A 6 B

7 Theorem 11-7 If the scale factor of two similar figures is a : b, then
(1) (2)

8 Example 5 Find the ratio of the perimeters and the ratio of the areas of the two similar figures. 6 15 CW: p ; p HW: p even, 24-26


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