mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Unit octagon

The diagram shows a regular octagon with sides of length 1. The octagon is divided into regions by four diagonals. What is the difference between the area of the hatched region and the area of the region shaded grey?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths XII,
puzzles about area, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

symmetry polynomials means number bases partitions trigonometry percentages elections fractions speed digital clocks integers averages division perimeter geometry clocks squares ellipses calculus addition palindromes balancing star numbers graphs range books perfect numbers multiples surds scales people maths 3d shapes combinatorics doubling odd numbers cards algebra multiplication advent sequences numbers factors proportion dominos cryptic clues games shapes coordinates christmas consecutive integers chocolate coins probabilty volume prime numbers dodecagons sets integration products cube numbers unit fractions chalkdust crossnumber binary geometric means area colouring polygons square numbers decahedra folding tube maps albgebra circles median probability axes even numbers complex numbers taxicab geometry expansions angles triangles crossnumbers remainders square roots functions shape parabolas chess rectangles sum to infinity sums gerrymandering mean grids routes logic lines rugby digits factorials the only crossnumber money menace matrices dice geometric mean hexagons floors cryptic crossnumbers sport irreducible numbers planes wordplay triangle numbers time regular shapes 2d shapes determinants tournaments crossnumber tiling quadratics dates digital products indices arrows quadrilaterals tangents pascal's triangle crosswords differentiation ave consecutive numbers cubics spheres pentagons

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024