1988 AJHSME Problems/Problem 13

Revision as of 11:09, 19 April 2009 by 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>\...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 Problems

Invalid username
Login to AoPS