maths-circles II

2011-01-05 7:10 am

圖片參考:http://img716.imageshack.us/img716/2766/98699108.jpg

In the figure, ABC is a circle. If ∠BAC=36° and arcBC=6, find the circumference of the circle.

回答 (2)

2011-01-05 10:24 am
✔ 最佳答案
Let O be the centre of the circle.

∠BOC = 2∠BAC = 2 x 36° = 72° (∠ at centre)

Circumference = 6 x (360/72) = 30
參考: micatkie
2011-01-06 1:23 am
Because angle at centre = 72, so it subtends 72/360 = 1/5 of the circumfernce.

Therefore an arc length of 6 = 1/5 x circumference

Hence circumference = 30


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