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Cartesian to Cylindrical Coordinates

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About The Calculator

Cartesian coordinates are coordinates based on a two-dimensional plane. They indicate a point’s distance from the origin or center of axis systems on a graph or chart. The coordinates are labeled according to their distance from the origin, with the x-axis representing the horizontal direction and the y-axis representing the vertical direction. Any point on the graph can be described by its pair of x- and y-coordinates. This calculator convert the x-y-z coordinates into cylindrical form in a record time.

Cartesian to cylindrical coordinates

Calculator Basics

1. Gather the Cartesian coordinates you want to convert, which should be in the form (x, y, z).

2. Define the origin point on the coordinate system. This is usually (0, 0, 0).

3. Calculate the distance from the origin to the point by using the Pythagorean theorem. This is your ρ (radius):

      ρ = √(x2 + y2)

4. Calculate the angle θ between the x-axis and the line created by the point and the origin by using the following equation:

      θ = tan-1(y/x)

5. Calculate the height z above the x-y plane. This will be the same as the z-coordinate in the Cartesian coordinate: z = z

6. Record the results in the form (ρ, θ, z). These are your Cylindrical coordinates. Learn more here.


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