Incircle, incenter, and inradius — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Incircle, incenter, and inradius — 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).
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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
2004 AMC 10B Problem 22 • 2011 AMC 10B Problem 25 • 2017 AMC 10B Problem 21 • 2019 AMC 10A Problem 21
AMC 12
1950 AMC 12 Problem 35 • 1954 AMC 12 Problem 19 • 1954 AMC 12 Problem 43 • 1957 AMC 12 Problem 7 • 1958 AMC 12 Problem 16 • 1963 AMC 12 Problem 15 • 1964 AMC 12 Problem 13 • 1966 AMC 12 Problem 31 • 1967 AMC 12 Problem 3 • 1967 AMC 12 Problem 5 • 1970 AMC 12 Problem 27 • 1974 AMC 12 Problem 16 • 1977 AMC 12 Problem 15 • 1979 AMC 12 Problem 21 • 1980 AMC 12 Problem 26 • 1982 AMC 12 Problem 10 • 1999 AMC 12 Problem 16 • 2008 AMC 12A Problem 20 • 2011 AMC 12A Problem 13 • 2011 AMC 12A Problem 24 • 2011 AMC 12B Problem 22 • 2012 AMC 12A Problem 18 • 2018 AMC 12B Problem 21 • 2019 AMC 12A Problem 18 • 2022 AMC 12A Problem 25 • 2024 AMC 12B Problem 24
AIME
1993 AIME Problem 15 • 1999 AIME Problem 12 • 2000 AIME II Problem 10 • 2001 AIME I Problem 7 • 2001 AIME I Problem 12 • 2001 AIME II Problem 7 • 2005 AIME I Problem 15 • 2007 AIME II Problem 9 • 2007 AIME II Problem 15 • 2009 AIME I Problem 12 • 2009 AIME I Problem 15 • 2010 AIME I Problem 15 • 2015 AIME I Problem 11 • 2016 AIME I Problem 6 • 2018 AIME I Problem 13 • 2018 AIME II Problem 14 • 2019 AIME I Problem 11 • 2020 AIME II Problem 13 • 2023 AIME I Problem 8 • 2024 AIME I Problem 8 • 2024 AIME II Problem 10 • 2025 AIME I Problem 6 • 2026 AIME II Problem 8