# Point A is at #(-2 ,8 )# and point B is at #(-1 ,3 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

##### 1 Answer

The change in distance is:

#### Explanation:

The first distance from B to A is:

Compute the polar coordinates of point A:

Note: We add

To rotate the point we add

Compute the x and y coordinates for new point A:

Compute the new distance:

The change in distance is: