MathDB
Enlarging a Circle

Source: 1968 AHSME Problem #1

August 31, 2011
AMC

Problem Statement

Let PP units be the increase in the circumference of a circle resulting from an increase in π\pi units in the diameter. Then PP equals:
<spanclass=latexbold>(A)</span> 1π<spanclass=latexbold>(B)</span> π<spanclass=latexbold>(C)</span> π22<spanclass=latexbold>(D)</span> π2<spanclass=latexbold>(E)</span> 2π<span class='latex-bold'>(A)</span>\ \dfrac{1}{\pi} \qquad <span class='latex-bold'>(B)</span>\ \pi \qquad <span class='latex-bold'>(C)</span>\ \dfrac{\pi^2}{2} \qquad <span class='latex-bold'>(D)</span>\ \pi^2 \qquad <span class='latex-bold'>(E)</span>\ 2\pi