# Point A is at #(-2 ,-8 )# and point B is at #(-5 ,3 )#. Point A is rotated #pi/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?

Increase in distance due to rotation of point A 1.6816

Point A rotated clockwise about origin by

Change in distance due to rotation of point A

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The new coordinates of point A after rotating π/2 radians clockwise about the origin are (8, -2). The distance between points A and B remains unchanged after the rotation.

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