# Area of a Three-Leaved Rose

• March 22nd 2009, 05:14 PM
My Little Pony
Area of a Three-Leaved Rose
I'm supposed to find the area of one loop of a three leaved rose:

r=10cos3ϴ.

I know I'm supposed to integrate the formula (1/2)r^2ϴ, but what do I use as the upper and lower bounds?
• March 22nd 2009, 05:33 PM
skeeter
Quote:

Originally Posted by My Little Pony
I'm supposed to find the area of one loop of a three leaved rose:

r=10cos3ϴ.

I know I'm supposed to integrate the formula (1/2)r^2ϴ, but what do I use as the upper and lower bounds?

what is the first angle, $\theta > 0$ where $\cos(3\theta) = 0$ ? ... what is the next angle after that one?