Question 278377
your cartesian coordinates are (-2,2)


x = -2
y = 2


you want to convert from the form (x,y) to the form (r,T) where r is the length of the line segment and T is the angle.


T can be expressed in degrees or radians.


Some formulas to help you.


r = sqrt(x^2 + y^2)


T = arcTan (y/x)


In your problem, r = sqrt(4 + 4) = sqrt(8) = 2.828427125


T = arcTan (2/-2) = arcTan (-1) = -45 degrees.


If you add 180 to it, then it can also be 135 degrees.


Since in the cartesian coordinate system, your point is in the second quadrant, then in the polar coordinate system it also has to be in the second quadrant.


-45 degrees is in the fourth quadrant.


180 - 45 = 135 degrees is in the second quadrant.


135 degrees is the angle that you want, so T = 135 degrees.


your point of (-2,2) in the cartesian coordinate system is equivalent to the point (2.828427125, 135) in the polar coordinate system.


Your polar coordinates are (2.828427125,135) where T is expressed in degrees.


A calculator that can help you convert between polar and cartesian coordinate system can be found in the following reference.


<a href = "http://www.random-science-tools.com/maths/coordinate-converter.htm" target = "_blank">http://www.random-science-tools.com/maths/coordinate-converter.htm</a>