Frequently Asked Questions
How do you convert polar to Cartesian?
x equals r times cosine theta. y equals r times sine theta. Make sure theta is in the right unit (radians for the standard math functions).
Why convert at all?
Different problems are easier in different coordinates. Circular problems are easier in polar; rectangular grids and linear transformations are easier in Cartesian.
Does theta have to be positive?
No. Negative angles measure clockwise from the positive x-axis. The conversion formulas still work.
How do you convert degrees to radians for polar coordinates?
Multiply the angle in degrees by π/180. For example 90° = 90·π/180 = π/2 radians. Most trigonometric functions expect radians, so convert before applying cos and sin.
What is the difference between polar and Cartesian coordinates?
Cartesian coordinates (x, y) locate a point by horizontal and vertical distance on a grid. Polar coordinates (r, θ) locate the same point by its distance from the origin and its angle from the positive x-axis. Each is convenient for different problems.
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This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.