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

Question

1587 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-10T08:42:34

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

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

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

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

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

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

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

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