How do you convert from Cartesian to polar coordinates?

To convert Cartesian coordinates (x, y) to polar coordinates (r, θ): Calculate radius r = √(x² + y²) and angle θ = atan2(y, x). The angle θ is measured counterclockwise from the positive x-axis. For example, point (3, 4) converts to r = 5 and θ = 53.13°.

How do you convert from polar to Cartesian coordinates?

To convert polar coordinates (r, θ) to Cartesian coordinates (x, y): Calculate x = r × cos(θ) and y = r × sin(θ). Make sure θ is in radians. For example, polar coordinates (5, 45°) convert to approximately x = 3.54 and y = 3.54.

What are the different angle measurement units?

There are three common angle units: Degrees (360° in a full circle), Radians (2π rad in a full circle), and Gradians (400 grad in a full circle). Conversion: 180° = π rad = 200 grad. This calculator displays all three formats simultaneously.

What is the quadrant of a coordinate point?

The coordinate plane is divided into four quadrants: Quadrant I (x > 0, y > 0), Quadrant II (x 0), Quadrant III (x 0, y < 0). Points on the axes are not in any quadrant. This converter automatically identifies the quadrant.

Polar ↔ Cartesian Coordinate Converter

Distance from Origin

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Angle from X-Axis

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Quadrant

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Angle Formats

Degrees (°)

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Radians (rad)

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Gradians (grad)

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Interactive Coordinate Plane

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Polar ↔ Cartesian Coordinate Converter

Distance from Origin

Angle from X-Axis

Quadrant

Angle Formats

Interactive Coordinate Plane

Support This Free Tool

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