2025 AMC 8 Problem 12
Attempt Problem 12 of the 2025 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
The region shown below consists of squares, each with side length centimeter. What is the area, in square centimeters, of the largest circle that can fit inside the region, possibly touching the boundaries?
Answer: C
Small hint:
The largest circle is centered at the center of the region
Big hint:
Find the distance from the center to the nearest concave corners
Video solution:
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Written solution:
The corners of the region which are closest to the center are the points which lie on this circle:
By the Pythagorean Theorem, each of these points has this distance from the center: The area of the circle is then which is choice C.
Problem 12 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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- 1998 AMC 8
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- 2026 AMC 8