Converting from Rectangular Coordinates to Polar - Concept

Concept Concept (1)

We will often be asked to convert rectangular to polar coordinates, and this conversion will be very important to understand in Calculus. In order to convert rectangular to polar coordinates, we use the distance formula to find the radius, and the inverse tangent function to find the angle. We may also sometimes be asked to convert from polar coordinates to rectangular coordinates.

Sample Sample Problems (3)

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Converting from Rectangular Coordinates to Polar - Problem 1
Problem 1
How to convert rectangular equations, y=5 and a circle with radius of 5, into polar form.
Converting from Rectangular Coordinates to Polar - Problem 2
Problem 2
How to convert a complicated rectangular equation, x^2 + y^2 - (x^2 + y^2)^(1/2) - y, into polar form.
Converting from Rectangular Coordinates to Polar - Problem 3
Problem 3
How to convert a rectangular equation, x^2 - 6x +y^2 + 4y, into polar form.