# What is the distance between #(3 ,( 5 pi)/12 )# and #(-2 , ( 3 pi )/2 )#?

##### 1 Answer

The distance between the two points is approximately

#### Explanation:

You can find the distance between two points using the Pythagorean theorem

To find the distance between the points in the

The equations that transform between polar and Cartesian co-ordinates are:

**Converting the first point**

Cartesian co-ordinate of first point:

**Converting the second point**

Cartesian co-ordinate of first point:

**Calculating #a#**

Distance in the

**Calculating #b#**

Distance in the

**Calculating #c#**

Distance between the two points is therefore

**The distance between the two points is approximately #1.18# units.**

The diagrams about halfway down this page, in the section 'Vector addition using components' might be useful in understanding the process just performed.