1998 AHSME Problems/Problem 16

Revision as of 15:51, 6 June 2011 by BOGTRO (talk | contribs) (Created page with "== Problem 16 == The figure shown is the union of a circle and two semicircles of diameters <math>a</math> and <math>b</math>, all of whose centers are collinear. The ratio of th...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 16

The figure shown is the union of a circle and two semicircles of diameters $a$ and $b$, all of whose centers are collinear. The ratio of the area, of the shaded region to that of the unshaded region is

###px

$\mathrm{(A) \ } \sqrt{\frac ab} \qquad \mathrm{(B) \ }\frac ab \qquad \mathrm{(C) \ } \frac{a^2}{b^2} \qquad \mathrm{(D) \ }\frac{a+b}{2b} \qquad \mathrm{(E) \ } \frac{a^2 + 2ab}{b^2 + 2ab}$

Solution

Invalid username
Login to AoPS