A regular octagon is inscribed inside a square. Another square is inscribed inside the octagon. What is the ratio of the area of the smaller square to the area of the larger square?
This brainteaser was written by Derrick Niederman.
Illuminations: Square in a Square
National Council of Teachers of Mathematics
Math Topics
Area, Perimeter & Volume, Geometry, Ratios, Rates & Percents
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
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National Council of Teachers of Mathematics
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Resource k12
Illuminations: Square in a Square
A regular octagon is inscribed inside a square. Another square is inscribed inside the octagon. What is the ratio of the area of the smaller square to the area of the larger square?
This brainteaser was written by Derrick Niederman.
National Council of Teachers of Mathematics
Math Topics
Area, Perimeter & Volume, Geometry, Ratios, Rates & Percents
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
Download PDFs
Descriptions of PDFs
Problem and solution
What are you looking for?
Organization
National Council of Teachers of Mathematics
Website URL
Type of Resource
Activity Sheet
PDF File
PDF File