Find the area of the region bounded by
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Area in Polar Coordinates 1
2014-03-25 8:23 am
回答 (3)
2014-03-25 6:26 pm
✔ 最佳答案
Sector area = r^2 θ, so,
Area of the region is :
4 ∫(162 cos 2θ) dθ ⋯⋯ (upper π/4, lower 0)
= ∫(324 cos 2θ) d(2θ)= 324[sin 2θ]= 324 (sq. units)
2014-03-25 11:32:15 補充：
對的，多謝兩位阿 sir 提點，
Sector area = (1/2)r^2 θ
所以正確答案是 162 (sq. units)
2014-03-25 7:23 pm
r² θ / 2 ...
2014-03-25 8:29 am
http://www.wolframalpha.com/input/?i=r%5E2+%3D+162+cos+%282+theta%29
好靚
http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
2014-03-25 10:39:59 補充：
(1/2) r² θ ?
好靚
http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
2014-03-25 10:39:59 補充：
(1/2) r² θ ?
收錄日期: 2021-04-28 14:22:34
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20140325000051KK00008