Page 129 - Math SL HB Sem 1
P. 129
7 [Maxbmon mark l8J
t\
The following diagram shons a semictcle centre O, diaueter
[AB], with radius 2_
Let P be a poiat ol the crcrunferencr, with pOe 6 ro6;r".
=
o B
hnt agfi 0
(u) Ffud the area of the trialgle OpB, in trrms of 0. '
[2 rnarfuJ
o) Explain *,-hy the area of tria.gle opA is the same as the area triangre opB
[] marbJ
kt S be the total area of the tlvo segtneots shaded in the diagram belorrr
o B
(c) Show that S=2(n-2sin0)_
[3 mar*sJ
(d) Fiad the vahre of o when,s is a local murimrml justiliag
that it is a mitimu,' mar]*J
[8
hv'l t &'11/.
(e) Find a value of 0 for rvtrich S}raq its gr-eatest value
[2 rnarfuJ
hvs, 0'O
