Difference between revisions of "1988 AJHSME Problems/Problem 13"

m
 
Line 13: Line 13:
 
{{AJHSME box|year=1988|num-b=12|num-a=14}}
 
{{AJHSME box|year=1988|num-b=12|num-a=14}}
 
[[Category:Introductory Geometry Problems]]
 
[[Category:Introductory Geometry Problems]]
 +
{{MAA Notice}}

Latest revision as of 23:55, 4 July 2013

Problem

If rose bushes are spaced about $1$ foot apart, approximately how many bushes are needed to surround a circular patio whose radius is $12$ feet?

$\text{(A)}\ 12 \qquad \text{(B)}\ 38 \qquad \text{(C)}\ 48 \qquad \text{(D)}\ 75 \qquad \text{(E)}\ 450$

Solution

The circumference of the patio is $2\cdot 12\cdot \pi =24\pi \approx 75.398$. Since the bushes are spaced $1$ foot apart, about $75\rightarrow \boxed{\text{D}}$ are needed.

See Also

1988 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png