Polar & Cartesian coordinates
By DarthVader
Date: 2022-11-01
Topic: 180 see comments
Post views: 920
Cartesian Coordinates
- Cartesian coordinates operate on a rectangular grid with the origin point in the center at (0, 0).
- Cartesian coordinates have an x-axis and a y-axis with the location of a point having an x and/or y value.
Polar coordinates
- Polar coordinates operate on a circular grid also with an origin point of (0, 0)
- Polar coordinates have an r-value and a θ-value, with θ being the angle between the direction of a point and the positive x-axis, and r being the distance to the point.
Converting from polar to cartesian coordinates
If the location of a point has polar coordinates (r, θ), then its cartesian coordinates are given by:
x = r cos θ
y = r sin θ
Converting from cartesian to polar coordinates
If the location of a point has cartesian coordinates (x, y), then its polar coordinates are given by:
r = √ x2 + y2
θ = tan−1(y/x)
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