2006 AMC 12A Problems/Problem 21
From AoPSWiki
Problem
Let
and
.
What is the ratio of the area of 
to the area of 
?
Solution
Looking at the constraints of :
is a circle with a radius of 
. So, the area of is 
.
Looking at the constraints of :
is a circle with a radius of 
. So, the area of is 
.
So the desired ratio is 
See also
| 2006 AMC 12A (Problems • Resources) | ||
| Preceded by Problem 20 | Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
(In the S2 case, the one in in the solution should be a 2)
