# Cartesian to Polar Co-ordinates Converter

getcalc.com's **Rectangular - Polar Coordinates Calculator** is an online basic geometry tool to perform conversion between cartesian (x,y) and polar (r,θ) coordinates, in both US customary & metric (SI) units.

## Steps to Find Rectangular to Polar Coordeinates

The step by step workout for how to find what is angle and radius of a polar co-ordinates.__Workout :__

step1 Address the formula, input parameters and values

x = 10

y = 5

step 2 Apply x and y values in Angle formuala

Angle θ = tan^{-1}(y/x)

= tan^{-1}(5/10)

= tan^{-1}(2)

Angle θ = 26.5651 ˚

step 3 Find Radius using x and y values

Radius r = √x² + y²

= √(10)² + (5)²

= √100 + 25

= √125

Radius r = 11.1803

## Definition & Formulas

**Rectangular (x,y) - Polar (r,θ) Coordinate system** are the two dimensional plane to determine the position of points. Rectangular - polar coordinates conversion is a method of converting point (x,y) on the cartesian plane to point (r,θ) in polar plane.