# What is the distance between the following polar coordinates?:  (1,(5pi)/4), (5,(3pi)/8)

Jul 8, 2016

5.93577 approx

#### Explanation:

In cartesean coordinates $\left(1 , \frac{5 \pi}{4}\right)$ is $\left(1 \cos \left(\frac{5 \pi}{4}\right) , 1 \sin \left(\frac{5 \pi}{4}\right)\right)$ that is $\left(- \frac{1}{\sqrt{2}} , - \frac{1}{\sqrt{2}}\right)$ Or (-0.7071, -0.7071)

Like wise $\left(5 , \frac{3 \pi}{8}\right)$ is $\left(5 \cos 3 \frac{\pi}{8} , 5 \sin 3 \frac{\pi}{8}\right)$

Or(1.9134, 4.6194)

Use distance formula to get it=5.93577 approx