mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Circles

Source: MathsJam
There is a quarter circle with radius 2r and centre A and two semi circles with radius r and centres B and C.
Prove that the red area is equal to the blue area.

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths I,
puzzles about geometry, 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

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

Archive

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