Geometry · Semicircles · Arc length · Perimeter invariance · Area comparison
Each of the five figures drawn below is bounded entirely by semicircular arcs, and the largest arc is the same in all five figures. Among the figures with the smallest perimeter, which one has the largest area?
- A
- B
- C
- D
- E
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2021, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source