✓ Effortless Math · Free Tool

Polar ↔ Rectangular Converter

Convert between rectangular coordinates (x, y) and polar coordinates (r, θ) in either direction — choose degrees or radians, see the point plotted with its radius and angle, and follow full step-by-step working.

Rect → Polar: r = √(x² + y²), θ = atan2(y, x)  ·  Polar → Rect: x = r·cosθ, y = r·sinθ
Mode x , y

In Rect → Polar, enter x and y. In Polar → Rect, enter r and θ and choose degrees or radians. Negatives and decimals are fine.

Results

Converted coordinate
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r
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θ (degrees)
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θ (radians)
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x
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y
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Graph

PointRadius rAngle θ

Step-by-step