Page 87 - Math SL HB Sem 1

CIRCULAR FUNCTIONS AND TRIGONOMETRY

Area ofa Sector

The area oIa sector containinq an ar_lgle of0 radians at the centre can be found by
considerins rhe sccror as a r.,.rion of i"lJ;. Th;;;;ith; are; ;i'1,"'r..i"oiio ,r," ,*,
the ratio i, ir,",..i",I" t;;;;;i; );",*
:jji.T:,Ji: [:T3,:" "r*"l,ei"'e "",i"i,"a

area ofsector 0
TT 2r

figure 5

Area of sector - I o
2
Arcr of a segment

Area of a segment - area of sector OAB _ area of triangle OAB

!rro- !r,
22 sino

I

figure 6

4-3