Our conversion formula is x=rcosθy=rsinθ. To go the other direction, one can use the same right triangle. Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2.
How do you find polar coordinates?
To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):
- r = √ ( x2 + y2 )
- θ = tan-1 ( y / x )
What is the polar formula?
A polar equation is any equation that describes a relation between r r r and θ \theta θ, where r r r represents the distance from the pole (origin) to a point on a curve, and θ \theta θ represents the counterclockwise angle made by a point on a curve, the pole, and the positive x x x-axis.