Converting Polar Equations to Rectangular Equations

Learn how to convert a polar equation into rectangular form in this free math video tutorial by Mario's Math Tutoring. We go through the theory, the formulas and 4 example problems.

0:13 Discussing the Relationship Between Rectangular Form & Polar
0:36 Formula for Calculating the Radius r
0:49 Formula for Calculating the Angle Theta
1:04 Formula for Finding X Given r and theta
1:17 Formula for Finding Y Given r and theta
1:34 Example 1 Convert r=8sin(Theta) to Rectangular Form
2:58 Example 2 Convert Theta=pi/6 to Rectangular Form
4:19 Example 3 Convert r=5 to Rectangular Form
4:47 Example 4 Convert r=9sec(theta)

Related Videos:

Convert a Rectangular Equation to Polar Form

Convert From Rectangular to Polar Coordinates

Convert From Polar to Rectangular Coordinates

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[stealth_chain]

Great video. I like how you outlined what tools we needed, and then proceeded to show us how to use them in the examples. Really nice way of teaching.

[rileygibbons]

This really helped! I have a test tomorrow and I was sick through the whole week of lectures!! Hopefully now I won’t fail it at least haha

[baej]

thank you so much mario. binge watching some of your vids before my pre calc exam tmrw. life saving

[evelinmejia]

thank you so much!!! currently studying for my calculus 2 final and you explained everything MUCH better than my professor.

[Kriffles]

Saved my butt before a big test. Didn't know to use r^2 = x^2 + y^2. Almost missed some very easy points. Thanks mario.

[benlee]

How do you convert (r = theta) into a cartesian equation by this method?

[mariolopez]

how do you find the (x, y) coordinate from the rectangular equation? thanks

[dennisnyoike]

Mario you have been very helpful to God bless you!

[cheenis]

even though the final examples form is (x=9) and doesn't have a y in it, youd still say it's written in terms of x and y right? why didnt you sub sqrt(x squared + y squared) and then solve for y like the others? i know it's way more complicated but wouldnt it leave a y in the eq at the end? good video helped a lot

[mohammedaltaie]

whered the +16 come from in the first problem

[roichoi]

Hi can you by any chance post a video on how to convert rectangular equation to rectangular coordinates? And another video of how to convert polar equation to rectangular equation.

[angeloanderson]

this is some nice review, thanks in advance

[miiso]

ex:r sin θ = ln r
^2+ ln cos θ and my answer y=ln(x.r) . ı cannot for hours. can you help me please :( ?

[miiso]

ex:r sin θ = ln r^2+ ln cos θ and my answer y=ln(x.r). If there is no r^2 the answer lnx is true but we have extra r.WHAT CAN I DO PLEASE İ BEGGGG

[lilana]

if he was my math teacher, i'd never fail

[masudimohammad]

May have just passed my final because of you, God bless you!

[miiso]

hi. Can i ask you a question? ex:r sin θ = ln r
^ + ln cos θ and my answer:y=ln(x.r) but i cannot continue. what am i doin