# What is the polar form of ( 5,114 )?

Jul 10, 2018

$\left(\setminus \sqrt{14021} , \setminus {\tan}^{- 1} \left(22.5\right)\right)$

#### Explanation:

The Cartesian coordinates of the point $\left(x , y\right) \setminus \equiv \left(5 , 114\right)$

then its polar coordinates $\left(r , \setminus \theta\right)$ are given as follows

$r = \setminus \sqrt{{x}^{2} + {y}^{2}} = \setminus \sqrt{{5}^{2} + {114}^{2}} = \setminus \sqrt{13021}$

$\setminus \tan \setminus \theta = \setminus \frac{y}{x} = \setminus \frac{114}{5}$

$\theta = {\tan}^{- 1} \left(22.8\right)$

$\setminus \therefore \left(r , \setminus \theta\right) \setminus \equiv \left(\setminus \sqrt{13021} , \setminus {\tan}^{- 1} \left(22.5\right)\right)$