Difference between revisions of "2006 AMC 8 Problems/Problem 7"
Math Kirby (talk | contribs) (Created page with "== Problem == Circle <math> X </math> has a radius of <math> \pi </math>. Circle <math> Y </math> has a circumference of <math> 8 \pi </math>. Circle <math> Z </math> has an are...") |
Math Kirby (talk | contribs) (→Solution) |
||
Line 7: | Line 7: | ||
== Solution == | == Solution == | ||
− | Using the formulas of circles, <math> C=2 \pi r </math> and <math> A= \pi r^2 </math> | + | Using the formulas of circles, <math> C=2 \pi r </math> and <math> A= \pi r^2 </math>, we find that circle Y has a radius of 4 and circle Z has a radius of 3. Thus, the order from smallest to largest radius is <math> \boxed{\textbf{(B)}\ Z, X, Y} </math>. |
Revision as of 19:43, 6 September 2011
Problem
Circle has a radius of . Circle has a circumference of . Circle has an area of . List the circles in order from smallest to largest radius.
Solution
Using the formulas of circles, and , we find that circle Y has a radius of 4 and circle Z has a radius of 3. Thus, the order from smallest to largest radius is .