A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point P on the edge of the table (as shown below) has a distance of 6 from one wall, and a distance of 6 from the other wall. Find the radius of the table.
See image
Find sqrt (72 ) using Pythag theorem
then using Pythag theorem again:
( r+ sqrt(72) ^2 = r^2 + r^2
r^2 - 2 sqrt(72) - 72 = 0 Now use Quadratic Formula with a = 1 b = -2 sqrt (72) and c = - 72
to find r = 20.4853 units