How do you convert $(1,18)$ to polar form?

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Answer 1 · 2016-12-03T16:48:08

The answer is $(5sqrt13,1.52)$

To convert from cartesian coordinates $(x,y)$ to polar coordinates, we use the following

$x=rcostheta$

$y=rsintheta$

$r^2=x^2+y^2$

$tantheta=y/x$

Here, $x=1$ , and $y=18$

$r^2=1^2+18^2=1+324=325$

$r=sqrt325$

$tantheta=18$

$theta=1.52rd$

So,

The polar coordinates are $(5sqrt13,1.52)$

How do you convert (1,18)(1,18) to polar form?