# What is the polar form of ( 8,3 )?

Jan 14, 2016

$\left(\sqrt{73} , 0.36\right)$

#### Explanation:

Making use of the formulae that links Cartesian to Polar coordinates.

${r}^{2} = {x}^{2} + {y}^{2} \mathmr{and} \theta = {\tan}^{-} 1 \left(\frac{y}{x}\right)$

For (8 , 3 ) : ${r}^{2} = {8}^{2} + {3}^{2} = 64 + 9 = 73 \Rightarrow r = \sqrt{73}$

and theta = tan^-1(3/8 ) ≈ 0.36 radians