# What is the polar form of ( 11,14 )?

Jan 19, 2017

$\left(11 , 14\right)$ in rectangular coordinates is $\left(17.81 , {51.84}^{o}\right)$ in polar coordinates (2dp)

#### Explanation:

If we have $P \left(x , y\right) = \left(11 , 14\right)$, then:

Using trigonometry;

$\tan \theta = \frac{y}{x} = \frac{14}{11} \implies \theta = {51.84}^{o}$ (2dp)

By Pythagorous

${r}^{2} = {11}^{2} + {14}^{2} = 121 + 196 = 317 \implies r = 17.81$ (2dp)