Question

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

Answer 1

`(11,14)` in rectangular coordinates is `(17.81, 51.84^o)` in polar coordinates (2dp)

Explanation:

If we have `P(x,y) = (11,14)`, then:

Using trigonometry;

`tan theta = y/x = 14/11 => theta = 51.84^o` (2dp)

By Pythagorous

`r^2 = 11^2+14^2 = 121 + 196 = 317 => r = 17.81` (2dp)