Change the equation to rectangular cordinates

r=2

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- May 7th 2008, 03:44 PMldacollconvert to polar
Change the equation to rectangular cordinates

r=2 - May 7th 2008, 04:01 PMicemanfan
- May 7th 2008, 09:24 PMChris L T521
To convert a function from polar to rectangular or vice versa, use the following conversions:

$\displaystyle r=\sqrt{x^2+y^2}$

$\displaystyle \theta=tan^{-1}\frac{y}{x}$

$\displaystyle x=rcos\theta$

$\displaystyle y=rsin\theta$

$\displaystyle tan\theta=\frac{y}{x}$

Converting $\displaystyle r=2$ to rectangular, we get:

$\displaystyle \sqrt{x^2+y^2}=2\rightarrow x^2+y^2=4$.

You should recognize this as being a circle centered at the origin with a radius of 2.