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Greenthumb Circular Garden

GEOM-MXLB4K

Mrs. Greenthumb is planting a circular garden, but she will need to fence it in to keep the wildlife away from her precious begonias. She has $\$500$ available to spend on fencing.

If the fencing is sold in $3\text{ feet}$ sections and each section costs $\$14$, what will be the largest radius possible for her new garden to the nearest tenth of a foot?

A

$105.0\text{ feet}$

B

$35.7\text{ feet}$

C

$17.2\text{ feet}$

D

$16.7\text{ feet}$