SOLUTION: convert rectangular equation to polar equation x^2+(y-5)^2=25

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Question 610913: convert rectangular equation to polar equation x^2+(y-5)^2=25
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

First let's simplify/ Squaring y-5:

Subtracting 25 from each side we get:


Now let's convert to polar form. Replacing x with and y with this becomes:

Simplifying:

Factoring out from the first two terms:

Since :

which simplifies to:

Since r cannot be zero, we can divide both sides by r giving:

This may be an acceptable answer. Or you could add to each side:

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