Find the Area in polar coordinates

  • Thread starter MozAngeles
  • Start date
  • #1
101
0

Homework Statement


I am doing even problems in my book to study and i want to check this answer to see if it is right.
q: Find the area enclosed by one leaf of the three-leaved rose r=sin3(theta)


Homework Equations



A= integral 1/2 r2 d(theta)

The Attempt at a Solution


i used the formula setting the limits from 0 to pi/3 i got my answer to be pi/12 is this right?
 

Answers and Replies

  • #2
Yes, your answer is correct:

[tex]
A=\frac{1}{2}\int\limits_{0}^{\frac{\pi}{3}}
[sin(3\theta)]^{2} d\theta = \frac{\pi}{12}
[/tex]
 

Related Threads on Find the Area in polar coordinates

  • Last Post
Replies
4
Views
7K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
731
H
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
9
Views
3K
  • Last Post
Replies
10
Views
254
  • Last Post
Replies
3
Views
7K
  • Last Post
Replies
2
Views
1K
Top