# Thread: area of the polar curve

2. ## Re: area of the polar curve

What do you know about this and where do you have trouble? Do you know what a "loop" is? Do you know how to find area when the curve is given in polar coordinates? Do you know how to integrate?

3. ## Re: area of the polar curve

$\theta=0 \implies r=3$ ... from there, half a loop is formed at the first value of $\theta > 0$ where $r=0$.

4. ## Re: area of the polar curve

I know how to integrate, but i cannot understand the statement of the question.
About the polar coordinates, i have only deal with circle and oval.
I've try to draw the picture but it doesn't help me solve it.

5. ## Re: area of the polar curve

Attached is a graphical depiction of the hint I gave you in post #3 ...

area of one whole loop, $\displaystyle A = 2 \int_0^{\theta_1} \dfrac{r^2}{2} \, d\theta$

where $\theta_1$ is the first angle greater than $\theta = 0$ where $r = 0$