1958 AMC 12 Problem 16
Attempt Problem 16 of the 1958 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 1958 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
The area of a circle inscribed in a regular hexagon is The area of the hexagon is:
Answer: D
Small hint:
The circle’s radius is the apothem of the regular hexagon
Big hint:
For apothem the hexagon side is
Solution:
The circle has radius which is the hexagon’s apothem. Thus the side length is Using one-half the product of perimeter and apothem, the hexagon’s area is
Therefore, the correct answer is D.
Problem 16 in other years
- 1950 AMC 12
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