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K-12 Categories

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.


Math Topics
Area, Perimeter & Volume, Geometry, Ratios, Rates & Percents
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
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

Assigned Categories

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.


Math Topics
Area, Perimeter & Volume, Geometry, Ratios, Rates & Percents
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
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

Assigned Categories