Our Polar to Rectangular Calculator simplifies the conversion of polar coordinates (r, θ) into their equivalent rectangular (Cartesian) coordinates (x, y). Simply input the magnitude r and angle θ (in degrees or radians), and get your results instantly. Essential for trigonometry, physics, and engineering problems.
Formula:
Formulas for Polar to Rectangular Conversion:
The transformation from polar coordinates (r, θ) to rectangular coordinates (x, y) is given by:
x = r ⋅ cos(θ)
y = r ⋅ sin(θ)
Where:
- r: The radial distance (magnitude) from the origin to the point.
- θ (theta): The angle (in radians or degrees) measured counter-clockwise from the positive x-axis to the line segment connecting the origin and the point.
- x: The horizontal coordinate in the Cartesian system.
- y: The vertical coordinate in the Cartesian system.