7. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
O
B
AB is an arc
8. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
O l
B
AB is an arc
9. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r
O l 2
B
AB is an arc
10. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r
O l 2
l r
B
AB is an arc
11. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r
O l 2
l r
B
Length of an arc; l r
AB is an arc
12. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r
O l 2
l r
B
OAB is a sector
Length of an arc; l r
AB is an arc
13. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r AOAB r 2
O l 2 2
l r
B
OAB is a sector
Length of an arc; l r
AB is an arc
14. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r AOAB r 2
O l 2 2
l r 1
B AOAB r 2
2
OAB is a sector
Length of an arc; l r
AB is an arc
15. Trigonometric Functions
360 2 radians
Arcs & Sectors
A C 2r A r 2
l 2r AOAB r 2
O l 2 2
l r 1
B AOAB r 2
2
OAB is a sector
Length of an arc; l r
AB is an arc 1 2
Area of a sector; A r
2
19. e.g.
A l AB r
5
m
4
5c
45 5
O B cm
4
20. e.g. 1
l AB r AOAB r 2
A 2
5
m
4
5c
45 5
O B cm
4
21. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5
O cm
4
22. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
23. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
Area minor segment AB
24. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
1 1
Area minor segment AB r 2 r 2 sin
2 2
1 2
r sin
2
25. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
1 1
Area minor segment AB r 2 r 2 sin
2 2
1 2
r sin
2
26. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
1 1
Area minor segment AB r 2 r 2 sin
2 2
1 2
r sin
2
1 2
5 sin
2 4 4
25 1
2 4 2
25 2 100 2
cm
8 2
27. e.g. 1
l AB r AOAB r 2
A 2
5 1 2
5
m
4
5c
45
2 4
B 5 25
O cm cm 2
4 8
1 1
Area minor segment AB r 2 r 2 sin
2 2
1 2
r sin
2
1 2
5 sin
Exercise 14B; 2 to 24 evens, 25, 28* 2 4 4
25 1
2 4 2
25 2 100 2
cm
8 2