# What is the polar form of (11,-11)?

Feb 25, 2017

$\left(- \frac{\pi}{4} , 15.56\right)$

#### Explanation:

The x value is 11 and the y value is -11

---------11
|
|
|
11

Thus the angle is $- 45$ degrees and at a length of 15.56, using the Pythagorean Theorem.

You could also use these two equations to convert any point:

x = r × cos( θ )
y = r × sin( θ )

So:

11 = rcos( θ )
-11 = rsin( θ )

Then you can use a calculator to solve for r and theta.