Circumcircle, circumcenter, and circumradius — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Circumcircle, circumcenter, and circumradius — 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
2003 AMC 10A Problem 17 • 2004 AMC 10B Problem 22 • 2007 AMC 10B Problem 4 • 2007 AMC 10B Problem 11 • 2015 AMC 10B Problem 19 • 2019 AMC 10A Problem 6 • 2021 AMC 10A Fall Problem 15 • 2023 AMC 10B Problem 3 • 2025 AMC 10B Problem 5
AMC 12
1959 AMC 12 Problem 21 • 1959 AMC 12 Problem 43 • 1960 AMC 12 Problem 15 • 1965 AMC 12 Problem 25 • 1966 AMC 12 Problem 31 • 1968 AMC 12 Problem 12 • 1973 AMC 12 Problem 15 • 1974 AMC 12 Problem 16 • 1977 AMC 12 Problem 19 • 1989 AMC 12 Problem 19 • 2003 AMC 12A Problem 11 • 2007 AMC 12A Problem 10 • 2011 AMC 12A Problem 25 • 2011 AMC 12B Problem 20 • 2015 AMC 12B Problem 19 • 2018 AMC 12B Problem 21 • 2021 AMC 12B Fall Problem 9
AIME
2000 AIME II Problem 12 • 2003 AIME II Problem 7 • 2007 AIME II Problem 15 • 2010 AIME II Problem 14 • 2011 AIME II Problem 13 • 2014 AIME II Problem 14 • 2015 AIME II Problem 11 • 2017 AIME I Problem 4 • 2020 AIME I Problem 15 • 2021 AIME II Problem 14 • 2024 AIME II Problem 10 • 2026 AIME I Problem 10