Circle area — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses circle area — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 8

1986 AMC 8 Problem 23 · 1992 AMC 8 Problem 5 · 1992 AMC 8 Problem 24 · 1997 AMC 8 Problem 24 · 2000 AMC 8 Problem 19 · 2003 AMC 8 Problem 22 · 2004 AMC 8 Problem 25 · 2005 AMC 8 Problem 23 · 2005 AMC 8 Problem 25 · 2006 AMC 8 Problem 7 · 2007 AMC 8 Problem 16 · 2008 AMC 8 Problem 25 · 2010 AMC 8 Problem 10 · 2010 AMC 8 Problem 16 · 2010 AMC 8 Problem 18 · 2010 AMC 8 Problem 19 · 2010 AMC 8 Problem 23 · 2011 AMC 8 Problem 25 · 2012 AMC 8 Problem 24 · 2013 AMC 8 Problem 20 · 2013 AMC 8 Problem 23 · 2018 AMC 8 Problem 15 · 2023 AMC 8 Problem 12 · 2025 AMC 8 Problem 12

More geometry concepts

3D geometryaltitudeangle bisectorangle bisector theoremangle chasingangle sumannulusarcareaarea decompositionarea ratioBrahmagupta’s Formulacentroidchordcirclecircumcircle, circumcenter, and circumradiuscircumferenceconecongruence (geometry)coordinate geometrycube geometrycyclic quadrilateralcylinderdiagonaldistance formulaellipseequiangular polygonequilateral triangleEuler’s Polyhedron FormulaHeron’s Formulahomothetyhyperbolaincircle, incenter, and inradiusinscribed angleisosceles trianglekitelattice pointlaw of cosineslaw of sinesmass pointsmedian (geometry)midpointnet (3D geometry)paper foldingparabolaparallel linesparallelogramperimeterperpendicular bisectorPick’s Theorempolyhedronpower of a pointpower scaling of length, area, and volumePtolemy’s TheorempyramidPythagorean TheoremPythagorean Tripleradical axisrectanglerectangular prismreflection (geometry)regular polygonrhombusright trianglesectorshoelace formulasimilarityspecial right trianglespheresquare (geometry)Stewart’s Theoremsurface areatangent circlestangent linetransformationtrapezoidtriangle areatriangle inequalitytrigonometric identitytrigonometryvectorViviani’s Theoremvolume