# How do you find the distance between #(2, π/3), (5, 2π/3)#?

##### 2 Answers

The distance is

#### Explanation:

We convert the polar coordinates

and

The distance is between

Here is a graph of vectors from the origin to the two points:

#### Explanation:

Please observe that the line connecting the two points forms a triangle:

We can use the Law of Cosines to find the length of the blue line (side c):

Where