2026 AMC 8 Problem 23
Attempt Problem 23 of the 2026 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 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
23.
Lakshmi has round coins of diameter centimeters. She arranges the coins in rows on a table top, as shown below, and wraps an elastic band tightly around them. In centimeters, what will be the length of the band?
Answer: C
Small hint:
Trace the path followed by the centers of the coins
Big hint:
Add the center-hull perimeter and one full circumference of radius
Video solution:
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Written solution:
Trace the path of the centers of the coins. Their convex hull is a trapezoid with bottom side , top side , and two slanted sides of length , so its perimeter is . Wrapping the band around coins of radius adds one full circumference, . The band length is .
Problem 23 in other years
- 1985 AMC 8
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