How to convert a polar equation to a rectangular equation


Asked by admin @ in Mathematics viewed by 248 People


Convert the rectangular equation x^2 + y^2 - 5y = 0 into a polar equation.

Answered by admin @



Note that in polar coordinates, r^2=x^2+y^2 and y = r \sin \theta.  This gives:

r^2 - 5r \sin \theta

r^2 = 5r \sin \theta

This gives r=0 or r=5 \sin \theta.

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