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

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==Solution==
 
==Solution==
  
The [[circumference]] of the patio is <math>2\cdot 12\cdot \pi =24\pi \approx 75.398</math>.  Since the bushes are spaced <math>1</math> foot apart, about <math>75\rightarrow \boxed{\text{D}}</math> are needed.
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The [[circumference]] of the ratio is <math>2\cdot 12\cdot \pi =24\pi \approx 75.398</math>.  Since the bushes are spaced <math>1</math> foot apart, about <math>75\rightarrow \boxed{\text{D}}</math> are needed.
  
 
==See Also==
 
==See Also==
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{{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]]
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{{MAA Notice}}

Latest revision as of 11:30, 21 December 2024

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 ratio 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

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