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Jim Smith JCHS
Arc Length, Sectors, Sections
spi.3.2.B
spi.3.2.L
7
C = 2r
C = 27
C = 14
9
A = r族
A = 9族
A = 81
A
B
The length of AB represents a
fractional part of the circles
circumference. If the mAB Is 90属,
then the length of AB is 90/360th
(1/4th) of the circumference.
A
B
6
Find the length of AB
C = 2  r
C = 2  6
C = 12
Length of AB = 村揃12 = 3
90/360 = 村
A
B
60属
8
C = 2r
C = 16
AB = 60/360 of 16
AB = 1/6 揃 16
AB = 1 揃 16
6 1
AB = 8
3
X Y
Z
120属
Find the length of
XYZ
9
XYZ = 240 of 18
360
XYZ = 2 揃 18
3 1
XYZ = 12
360属
- 120属
240属
C = 2r C = 18
Sectors are a fractional
part of a circles area
Find the shaded
area
8 A = r族 A = 64
Sector area =
村 of 64
64 = 16
4
90 of circles area
360
60属
60 of circles area
360
12
Area = r族 A = 144
Sector area =
A = 1 of 144
6
144 = 24
6
Sections
Lets talk pizza
AREA OF SECTION =
AREA OF SECTOR  AREA OF TRIANGLE
村  r族 - 遜 bh
Area of section =
area of sector  area of triangle
村  r族 - 遜 bh
10
A OF = 遜1010=
50
A OF SECTION =
25 - 50
A of circle = 100
A OF = 村 100 =
25

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