How do you convert polar coordinates to Cartesian coordinates? And vise versa.
you use a polar calculator converter
To convert polar coordinates to Cartesian coordinates, you can use the following formulas:
Given a point (r, θ) in polar coordinates, where r represents the distance from the origin to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:
Cartesian x-coordinate (x) = r * cos(θ)
Cartesian y-coordinate (y) = r * sin(θ)
To convert Cartesian coordinates to polar coordinates, you can use the following formulas:
Given a point (x, y) in Cartesian coordinates:
Distance from the origin (r) = √(x^2 + y^2)
Angle (θ) = arctan(y / x)
Please note that the angle (θ) is measured in radians and may need to be adjusted depending on the quadrant in which the point lies. To account for this, you can use the arctan2 function in many programming languages, which automatically determines the correct quadrant for you.