MathDB
Point and a Secant

Source:

February 6, 2009

Problem Statement

A point P P is outside a circle and is 13 13 inches from the center. A secant from P P cuts the circle at Q Q and R R so that the external segment of the secant PQ PQ is 9 9 inches and QR QR is 7 7 inches. The radius of the circle is: <spanclass=′latex−bold′>(A)</span> 3"<spanclass=′latex−bold′>(B)</span> 4"<spanclass=′latex−bold′>(C)</span> 5"<spanclass=′latex−bold′>(D)</span> 6"<spanclass=′latex−bold′>(E)</span> 7" <span class='latex-bold'>(A)</span>\ 3" \qquad <span class='latex-bold'>(B)</span>\ 4" \qquad <span class='latex-bold'>(C)</span>\ 5" \qquad <span class='latex-bold'>(D)</span>\ 6" \qquad <span class='latex-bold'>(E)</span>\ 7"
Back to ProblemsView on AoPS