Show that area enclosed by the curve r= cos(2φ) is pi/4. How to do so?

[Zan4]

Hi and happy Sunday for you all!

Show that area enclosed by the curve r= cos(2φ) is pi/4. How to do so?

I´ve tried to solve mathematical problem above, without success. Can you help me?

 

[Zan4]

Curve is given with polar coordinates.

This is picture, if I have understood right: http://www.math.wichita.edu/~richardson/cos2t/cos2t-ani.html

 

[Deleted member 4993]

Hi and happy Sunday for you all!

I´ve tried to solve mathematical problem described in title, without success. Can you help me?

It is a four petal graph.

Calculate area of one petal then multiply by 4.

How did you set up the integration problem? What are the limits for each petal?

Please share your work with us ...

If you are stuck at the beginning tell us and we'll start with the definitions.

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