trigo

2010-09-28 1:13 am
The square ABCD , each side 10cm, OPQR is a sector, OD=OC=5 cm
a. Find length of OP.

B. Find angle POD

c. Find the area of shaded region..

DIagram: http://www.flickr.com/photos/51470019@N07/5029361336/

PLS help.thx.

回答 (1)

2010-09-29 1:04 am
✔ 最佳答案
a)
OP=OQ=AD=10cm

b)
In tri. OPD,
cos (angle POD)=5/10=1/2
angle POD=60 degree

c)
Angle POR=180-60-60=60

Shaded Region
=Area of sector OPQR-Area of tri. OPR
=(60/360)*pi*(10^2)-(1/2)(10)^2sin60
=(50pi/3-50sqrt3/2)cm^2


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