Circle — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Circle — 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 problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 10
2001 AMC 10 Problem 4 • 2002 AMC 10B Problem 24 • 2005 AMC 10A Problem 23 • 2008 AMC 10A Problem 25 • 2008 AMC 10B Problem 10 • 2009 AMC 10B Problem 16 • 2010 AMC 10B Problem 6 • 2012 AMC 10B Problem 2 • 2015 AMC 10A Problem 14 • 2015 AMC 10B Problem 12 • 2016 AMC 10B Problem 21 • 2017 AMC 10A Problem 17 • 2018 AMC 10A Problem 21 • 2021 AMC 10A Spring Problem 19 • 2021 AMC 10B Spring Problem 14
AMC 12
1950 AMC 12 Problem 9 • 1950 AMC 12 Problem 49 • 1951 AMC 12 Problem 46 • 1951 AMC 12 Problem 48 • 1952 AMC 12 Problem 1 • 1952 AMC 12 Problem 8 • 1952 AMC 12 Problem 27 • 1952 AMC 12 Problem 29 • 1952 AMC 12 Problem 33 • 1952 AMC 12 Problem 37 • 1952 AMC 12 Problem 43 • 1953 AMC 12 Problem 15 • 1954 AMC 12 Problem 9 • 1954 AMC 12 Problem 19 • 1954 AMC 12 Problem 39 • 1954 AMC 12 Problem 47 • 1957 AMC 12 Problem 18 • 1957 AMC 12 Problem 34 • 1957 AMC 12 Problem 47 • 1958 AMC 12 Problem 21 • 1958 AMC 12 Problem 48 • 1959 AMC 12 Problem 31 • 1959 AMC 12 Problem 32 • 1960 AMC 12 Problem 5 • 1960 AMC 12 Problem 12 • 1960 AMC 12 Problem 32 • 1962 AMC 12 Problem 5 • 1962 AMC 12 Problem 25 • 1963 AMC 12 Problem 18 • 1964 AMC 12 Problem 36 • 1965 AMC 12 Problem 13 • 1966 AMC 12 Problem 8 • 1966 AMC 12 Problem 40 • 1967 AMC 12 Problem 29 • 1968 AMC 12 Problem 35 • 1969 AMC 12 Problem 10 • 1969 AMC 12 Problem 21 • 1969 AMC 12 Problem 28 • 1970 AMC 12 Problem 7 • 1971 AMC 12 Problem 5 • 1971 AMC 12 Problem 9 • 1971 AMC 12 Problem 17 • 1971 AMC 12 Problem 31 • 1972 AMC 12 Problem 23 • 1972 AMC 12 Problem 28 • 1972 AMC 12 Problem 32 • 1973 AMC 12 Problem 1 • 1973 AMC 12 Problem 11 • 1973 AMC 12 Problem 30 • 1973 AMC 12 Problem 35 • 1975 AMC 12 Problem 11 • 1975 AMC 12 Problem 24 • 1976 AMC 12 Problem 8 • 1976 AMC 12 Problem 18 • 1976 AMC 12 Problem 22 • 1977 AMC 12 Problem 9 • 1978 AMC 12 Problem 2 • 1978 AMC 12 Problem 10 • 1978 AMC 12 Problem 11 • 1979 AMC 12 Problem 8 • 1979 AMC 12 Problem 12 • 1979 AMC 12 Problem 28 • 1980 AMC 12 Problem 5 • 1982 AMC 12 Problem 14 • 1982 AMC 12 Problem 24 • 1983 AMC 12 Problem 2 • 1983 AMC 12 Problem 10 • 1983 AMC 12 Problem 29 • 1983 AMC 12 Problem 30 • 1984 AMC 12 Problem 29 • 1985 AMC 12 Problem 2 • 1985 AMC 12 Problem 3 • 1985 AMC 12 Problem 10 • 1985 AMC 12 Problem 22 • 1986 AMC 12 Problem 27 • 1990 AMC 12 Problem 6 • 1990 AMC 12 Problem 14 • 2002 AMC 12B Problem 25 • 2003 AMC 12A Problem 17 • 2004 AMC 12A Problem 24 • 2005 AMC 12A Problem 15 • 2005 AMC 12B Problem 14 • 2005 AMC 12B Problem 18 • 2008 AMC 12A Problem 22 • 2010 AMC 12A Problem 13 • 2011 AMC 12A Problem 10 • 2012 AMC 12A Problem 16 • 2012 AMC 12B Problem 2 • 2015 AMC 12A Problem 11 • 2015 AMC 12A Problem 21 • 2017 AMC 12B Problem 6 • 2017 AMC 12B Problem 9 • 2018 AMC 12A Problem 16 • 2019 AMC 12B Problem 20 • 2020 AMC 12A Problem 18 • 2020 AMC 12B Problem 10 • 2021 AMC 12B Fall Problem 10 • 2022 AMC 12B Problem 8 • 2023 AMC 12B Problem 10 • 2025 AMC 12B Problem 25
AIME
1983 AIME Problem 4 • 1983 AIME Problem 14 • 1991 AIME Problem 11 • 2001 AIME II Problem 6 • 2006 AIME I Problem 10 • 2012 AIME II Problem 15 • 2013 AIME II Problem 10 • 2014 AIME I Problem 7 • 2014 AIME I Problem 10 • 2014 AIME I Problem 15 • 2021 AIME I Problem 15 • 2023 AIME I Problem 5 • 2024 AIME I Problem 5