Cartesian to Polar Calculator
Convert between Cartesian (x,y) and Polar (r,theta) coordinate systems.
Conversion Mode
Coordinate Plane
Polar Coordinates
(5.0000, 53.13)
Quadrant 1
rRadius (r)
5.000000
thetaAngle (degrees)
53.1301
radAngle (radians)
0.927295
QQuadrant
Q1
Conversion Formulas
Cartesian to Polar
r = sqrt(x^2 + y^2)
theta = atan2(y, x)
Polar to Cartesian
x = r x cos(theta)
y = r x sin(theta)
Understanding Coordinate Systems
Cartesian Coordinates
Uses perpendicular x and y axes to specify a point's location by its horizontal and vertical distances from the origin.
Polar Coordinates
Uses distance from origin (r) and angle from positive x-axis (theta) to specify a point's location.