MathDB
Square inscribed in semicircle

Source: 1959 AHSME Problem 31

August 14, 2013
geometryAMCcircleAMC 12

Problem Statement

A square, with an area of 4040, is inscribed in a semicircle. The area of a square that could be inscribed in the entire circle with the same radius, is: <spanclass=latexbold>(A)</span> 80<spanclass=latexbold>(B)</span> 100<spanclass=latexbold>(C)</span> 120<spanclass=latexbold>(D)</span> 160<spanclass=latexbold>(E)</span> 200 <span class='latex-bold'>(A)</span>\ 80 \qquad<span class='latex-bold'>(B)</span>\ 100\qquad<span class='latex-bold'>(C)</span>\ 120\qquad<span class='latex-bold'>(D)</span>\ 160\qquad<span class='latex-bold'>(E)</span>\ 200