# What is the Cartesian form of ( 8, (25pi)/8 ) ?

##### 1 Answer
May 20, 2017

$\left(- 7.391 , - 3.061\right)$

#### Explanation:

The conversion from polar to cartesian coordinates is:
$\left(x , y\right) = \left(r \cos \theta , r \sin \theta\right)$

$x = r \cos \theta = 8 \cos \left(25 \frac{\pi}{8}\right) = - 7.391$
$y = r \sin \theta = 8 \sin \left(25 \frac{\pi}{8}\right) = - 3.061$

So the cartesian coordinates are $\left(- 7.391 , - 3.061\right)$