# Thread: Find the area of the clover

1. ## Find the area of the clover

Find the area bounded by one loop of the "four leaf clover":

$\displaystyle (x^2+y^2)^3=4x^2y^2$

it will be easier if i can draw the picture of it, but i'm having a hard time doing so, any help will be appearicated.

2. does it look like a figure eight curve rotated 90 degrees over another?

3. Originally Posted by wopashui
Find the area bounded by one loop of the "four leaf clover":

$\displaystyle (x^2+y^2)^3=4x^2y^2$

it will be easier if i can draw the picture of it, but i'm having a hard time doing so, any help will be appearicated.
Here is what Mathematica plots.

4. Originally Posted by wopashui
Find the area bounded by one loop of the "four leaf clover":

$\displaystyle (x^2+y^2)^3=4x^2y^2$

it will be easier if i can draw the picture of it, but i'm having a hard time doing so, any help will be appearicated.
Have you tried converting to polar coordinates?

5. Originally Posted by dwsmith
Here is what Mathematica plots.

What's you're third dimension?

Here's a 2D plot I get: &#40;x&#94;2&#43;y&#94;2&#41;&#94;3&#61;4x&#94;2y& #94;2 - Wolfram|Alpha

6. Originally Posted by chiph588@
What's you're third dimension?

Here's a 2D plot I get: &#40;x&#94;2&#43;y&#94;2&#41;&#94;3&#61;4x&#94;2y& #94;2 - Wolfram|Alpha
For some reason, it wouldn't plot in 2D.

7. Originally Posted by dwsmith
For some reason, it wouldn't plot in 2D.