Question

A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.

Answer 1

The radius of the bun (r) is given by
.. 16 in^2 = πr^2
.. r = (4 in)/√π ≈ 2.25676 in

The distance from the corner to the center of the square hamburger is
.. d = 4 in/√2 = 2√2 in ≈ 2.82843 in

The burger will stick out
.. (2.82843 -2.25676) in ≈ 0.57 in