Question

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

Answer 1

Distance between points: `color(green)(2sqrt(5))`

Explanation:

Here is my interpretation of the locations for the points `color(red)(""(4,2pi))` and `color(blue)(""(-2,pi/2))`

The distance between the points can be calculated using the Pythagorean Theorem as:
`color(white)("XXXX")color(green)(sqrt(color(blue)(""(-2))^2+color(red)4^2))=color(green)(sqrt(20))=color(green)(2sqrt(5))`