1954 AMC 12 Problem 5
Attempt Problem 5 of the 1954 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1954 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
A regular hexagon is inscribed in a circle of radius inches. Its area is:
sq. in.
sq. in.
sq. in.
sq. in.
sq. in.
Answer: A
Small hint:
An inscribed regular hexagon has side length equal to the circle’s radius
Big hint:
Divide the hexagon into six equilateral triangles of side
Solution:
The hexagon consists of six equilateral triangles of side Its area is square inches.
Thus, the correct answer is A.
Problem 5 in other years
- 1950 AMC 12
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