A circular table is pushed into the corner of a rectangular room in such a way that it just touches two adjacent walls.An ant crawling on the table rim(on the minor arc between the two points of contact)observes that it is 8 inches from one wall and 1 inches from the other ,find the diameter of the table.

Answer 1

If you draw a diagram, and mark the spot on the rim, you can draw a radius to the point. That radius will be the hypotenuse of a triangle, such that

(r-1)^2 + (r-8)^2 = r^2
so, r=13

Hence, the diameter is 26 inches