# What is the distance between the following polar coordinates?:  (4,2pi), (-2,pi/2)

Distance between points: $\textcolor{g r e e n}{2 \sqrt{5}}$
Here is my interpretation of the locations for the points color(red)(""(4,2pi)) and color(blue)(""(-2,pi/2))
color(white)("XXXX")color(green)(sqrt(color(blue)(""(-2))^2+color(red)4^2))=color(green)(sqrt(20))=color(green)(2sqrt(5))