# What is the distance between (4, pi/2 ) and (2, pi/3 )?

Nov 7, 2016

The distance between $\left(4 , \frac{\pi}{2}\right)$ and $\left(2 , \frac{\pi}{3}\right)$
is $\approx 2.067403124$ units.

#### Explanation:

$\left(4 , \frac{\pi}{2}\right)$ and $\left(2 , \frac{\pi}{3}\right)$

Use the distance formula:
$d = \sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2}}$
$d = \sqrt{{2}^{2} + {\left(\frac{\pi}{2} - \frac{\pi}{3}\right)}^{2}}$
$d = \sqrt{4 + {\left(\frac{\pi}{6}\right)}^{2}}$
$d = \sqrt{4 + {\pi}^{2} / 36}$
$d \approx 2.067403124$