F6 Maths 272

2011-12-23 2:39 am
In the figure, OABCD is a sector of a circle. If arc AB = arc BC = arc CD,
then x = ?


圖片參考:http://imgcld.yimg.com/8/n/HA00149615/o/701112220071013873414250.jpg

回答 (1)

2011-12-23 3:47 am
✔ 最佳答案
ㄥCOD = 90/3 = 30°
ㄥCAD
= (1/2)ㄥCOD (∠at centre twice ∠ at ☉ce)
= 15°
Similarly ,
ㄥBDA = 15°
x + ㄥCAD + ㄥBDA = 180° (ㄥ sum of △)
x + 15° + 15° = 180°
x = 150°


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