Difference between revisions of "1988 AJHSME Problems/Problem 13"
5849206328x (talk | contribs) (New page: ==Problem== If rose bushes are spaced about <math>1</math> foot apart, approximately how many bushes are needed to surround a circular patio whose radius is <math>12</math> feet? <math>\...) |
m (→Solution) |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
| − | If rose bushes are spaced about <math>1</math> foot apart, approximately how many bushes are needed to surround a circular patio whose radius is <math>12</math> feet? | + | If rose bushes are spaced about <math>1</math> foot apart, approximately how many bushes are needed to surround a [[circle|circular]] patio whose radius is <math>12</math> feet? |
<math>\text{(A)}\ 12 \qquad \text{(B)}\ 38 \qquad \text{(C)}\ 48 \qquad \text{(D)}\ 75 \qquad \text{(E)}\ 450</math> | <math>\text{(A)}\ 12 \qquad \text{(B)}\ 38 \qquad \text{(C)}\ 48 \qquad \text{(D)}\ 75 \qquad \text{(E)}\ 450</math> | ||
| Line 7: | Line 7: | ||
==Solution== | ==Solution== | ||
| − | The circumference of the | + | 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== | ||
| − | + | {{AJHSME box|year=1988|num-b=12|num-a=14}} | |
[[Category:Introductory Geometry Problems]] | [[Category:Introductory Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 11:30, 21 December 2024
Problem
If rose bushes are spaced about 
foot apart, approximately how many bushes are needed to surround a circular patio whose radius is 
feet?
Solution
The circumference of the ratio is 
. Since the bushes are spaced foot apart, about 
are needed.
See Also
| 1988 AJHSME (Problems • Answer Key • Resources) | ||
| 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. 
