MathDB
Squares Inscribed in Semicircle and Circle

Source:

February 1, 2009
geometryratioMATHCOUNTS

Problem Statement

The area of a square inscribed in a semicircle is to the area of the square inscribed in the entire circle as: <spanclass=latexbold>(A)</span> 1:2<spanclass=latexbold>(B)</span> 2:3<spanclass=latexbold>(C)</span> 2:5<spanclass=latexbold>(D)</span> 3:4<spanclass=latexbold>(E)</span> 3:5 <span class='latex-bold'>(A)</span>\ 1: 2 \qquad<span class='latex-bold'>(B)</span>\ 2: 3 \qquad<span class='latex-bold'>(C)</span>\ 2: 5 \qquad<span class='latex-bold'>(D)</span>\ 3: 4 \qquad<span class='latex-bold'>(E)</span>\ 3: 5