# How do you convert (-4, 3) into polar coordinates?

##### 2 Answers

If

Magnitude of a cartesian coordinates

Let

Magnitude of

Angle of

But since the point is in second quadrant so we have to add

Note that the angle is given in degree measure.

Given that a point

Then

#### Explanation:

This is not a polar graph!!!

We are give the coordinates of (-4,3)

Suppose we viewed this in the context of Cartesian form and use

Then

So we would have

Suppose the graph was only plotted over the range

Then the above graph would not be continuous but be a line from

All we need now is the angle that that line makes to the x-axis and the length of that line.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Polar angle

Let the angle from the line to the negative x-axis be

Then

But

so

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given that a point

Then