1961 AMC 12 Problem 32
Attempt Problem 32 of the 1961 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 1961 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
32.
A regular polygon of sides is inscribed in a circle of radius The area of the polygon is Then equals:
Answer: C
Small hint:
Divide the polygon into congruent triangles with vertex at the center
Big hint:
Use area and test the choices
Solution:
The polygon’s area is For this becomes as required.
Therefore, the correct answer is C.