My friend gave me a good question today so I want to see if you smart geniuses can answer it
Consider a fixed line AB=4. Also consider a line CD, such that
AB=CD=4, and that AB is the perpendicular bisector of CD AND CD is the perpendicular bisector of AB.
Now, consider the set of all points P on CD (which there are inifineitely many). For every unique point P, there is a unique point Q such that QBPA is cyclic (all four points lie on a circle).
The set of all possible points Q creates a familiar figure.
What is that figure and what is the area of that figure?
I said it was a cirlce with area 4pi, but he said it was wrong?
What other familar shape can it possibly be? If i draw it it seems like a circle (i just plotted a lot of points)