Post on 03-Aug-2020
Geometry Lesson 16.2 & 3 and FOIL
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Geometry: Module 16.2 and 16.3
Bellwork: Circumference and AreaExplain 1: Using simple proportions to find arc lengths and area of sectorsPractice: WorksheetPresentations:Closing:
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
Arc Measure:Notation: mABMeaning: Measure of Central Angle
m<ACB
Arc Length:Notation: AB
Meaning: The distance traveled (along the circumference) traveled between A and B.
C
A
B
mABm<ACB C
A
B
ABClip in B4p. 864
C
A
B
Sector ACB
Sector Area (area of a slice):Notation: Sector ACB
Meaning: The distance traveled (along the circumference) traveled between A and B.
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
Clip in B4p. 864
Arc Length Formula:
C
A
B
ABr
Arc length is a portion of the _______________
mAB o 360o = AB
Circumference ( d)
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
Clip in B4p. 864
Sector Area Formula:
C
A
B
Sector ACB
Sector area is a portion of the _______________
mAB o 360o = Circle Area
( r2 )
Sector ACB
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
Clip in B4p. 864
mAB o 360o = Circle Area
( r2 )
Sector ACBmAB o 360o = AB
Circumference ( d)
Example 1)A
B
12
142o
ABFind
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
Clip in B4p. 864
mAB o 360o = Circle Area
( r2 )
Sector ACBmAB o 360o = AB
Circumference ( d)
C
A
BSector ACB
285o
Find the area of sector ACBExample 2)
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
BOOKp. 864
mAB o 360o = Circle Area
( r2 )
Sector ACBmAB o 360o = AB
Circumference ( d)
Geometry Lesson 16.2 & 3 and FOIL
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16.2 and 16.3:Arc LengthandSector Area
BOOKp. 875
mAB o 360o = Circle Area
( r2 )
Sector ACBmAB o 360o = AB
Circumference ( d)
Geometry Lesson 16.2 & 3 and FOIL
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MultiplyingPolynomials
Notebook Paper
Multiplying Polynomials:
Geometry Lesson 16.2 & 3 and FOIL
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MultiplyingPolynomials
Notebook Paper
Multiplying Polynomials:
3 (5x 12) 5x (2x 6)
x2 (5 6x2)2x2y (x + 2)
Geometry Lesson 16.2 & 3 and FOIL
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MultiplyingPolynomials
Notebook Paper
Multiplying Polynomials:
2xn4 (3x2n3 + 12x3 n7)
6d3 (3d4 2d3 d)
Geometry Lesson 16.2 & 3 and FOIL
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MultiplyingPolynomials
Notebook Paper
Multiplying Polynomials:
(2x + 3) (x + 5)
(x + 7) (5x 6)