Page 87 - Math SL HB Sem 1

CIRCULAR FUNCTIONS AND TR]GONOMETRY

Area ofa Sector

The area of a sector containing an angle ofO radians at the centre can be found by
considering the sector as a fractLn ofa-circl". rr," *ir.
of the sector to the area
"i*,!'ureu
rh e ratio of the an;6 o ;;;t#; i ; L; ;;"i;. il;;;;;; ); - -
:jjl"T:.J i: fi :Xyfl ,:.

area ofsector e
)Tr 2 2z

figure 5

Area of sector - I l 0
2

Area of a scgrnent
:
Area of a segment area of sector OAB _ area of triangle OAB

:1 r'0 I 2sind

2 2

B

figure 6

.t- )