convert to polar

**ldacoll** · May 7th 2008, 03:44 PM

Change the equation to rectangular cordinates
r=2

**icemanfan** · May 7th 2008, 04:01 PM

Originally Posted by ldacoll

Change the equation to rectangular cordinates
r=2

You should recognize that this is the equation for a circle with its center at the origin. The form of this equation is $x^2 + y^2 = r^2$ . So then, what is the equation for $r = 2$ ?

**Chris L T521** · May 7th 2008, 09:24 PM

Originally Posted by ldacoll

Change the equation to rectangular cordinates
r=2

To convert a function from polar to rectangular or vice versa, use the following conversions:

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

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

$x=rcos\theta$

$y=rsin\theta$

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

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

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

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

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