# Point A is at #(8 ,-4 )# and point B is at #(2 ,6 )#. 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

Feb 6, 2018

New coordinate of

Distance change (reduction) between A & B by rotating A around origin by

#### Explanation:

#A (8, -4), B (2,6)

Point A rotated clockwise about the origin by

A moves to A' from IV quadrant to I quadrant.

Using distance formula,

Distance change (reduction) between A & B by rotating A around origin by