F.2 Maths

2011-03-08 9:53 pm
The ratio of areas of a sector and the whole circle is 5:9. Find the angle at th-e centre of the sector.

回答 (2)

2011-03-08 10:01 pm
✔ 最佳答案
We have (1/2)r^2θ : πr^2 = 5 : 9

(1/2)θ : π = 5 : 9

θ : 2π = 5 : 9

9θ = 10π

θ = 10π/9 (radians) or 200 degrees

2011-03-09 8:26 am
簡答如下:

1)全個圓共:360度

2)全個圓的度數共分9份

3)扇形面積佔其中5份

4)每份度數=360/9=40度

5)扇形面積佔其中5份,即:40度x5份;即=200度


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