Tight Squares

Geometry Level 4

The figure shows a packing of three identical squares in a circle.

If we define \[\text{Packing Efficiency}=\frac{\text{Total area of the packing material}}{\text{Total area of the container}},\] how efficient is the packing in this case?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.