How many flowers, spaced every 3 in., are needed to surround a circular garden with a 175-ft radius? Use 3.14 for pi.

Question

asked Dec 18, 2024 2.9k views

1 Answer

Ctbrown · Answer 1 · 2024-12-24T09:50:02+0000

First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:

$\text{C}=2\pi \text{r}$

If we substitute 175 ft for
$\text{r}$ and use 3.14 to approximate
$\pi$ we get a circumference of:

$\text{C}=2*3.14*175 \ \text{ft}$

$\text{C}=6.28*175 \ \text{ft}$

$\text{C}=1099 \ \text{ft}$

We can now convert the circumference in feet to inches:

$1099 \ \text{ft}* \frac{12 \ \text{in}}{1 \ \text{ft}} \implies$

$1099*12 \ \text{in}\implies$

=13188

To find how many flowers we need we can divide the circumference in inches by the 3 inches between flowers giving:

$13188 \ \text{in}*\frac{1 \ \text{flower}}{3 \ \text{in}}\implies$

$13188 \ \text{in}*\frac{1 \ \text{flower}}{3 }\implies$

$\frac{13188 \ \text{flower}}{3 }\implies$

$=4396 \ \text{flower}$

You would require 4,396 flowers