MathDB
Radius of a Circle

Source:

March 3, 2010

Problem Statement

Given square ABCD ABCD with side 8 8 feet. A circle is drawn through vertices A A and D D and tangent to side BC. BC. The radius of the circle, in feet, is: <spanclass=latexbold>(A)</span> 4<spanclass=latexbold>(B)</span> 42<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 52<spanclass=latexbold>(E)</span> 6 <span class='latex-bold'>(A)</span>\ 4 \qquad <span class='latex-bold'>(B)</span>\ 4 \sqrt{2} \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 5 \sqrt{2} \qquad <span class='latex-bold'>(E)</span>\ 6