Question

how many flowers, spaced every 6 inches, are needed to surround a circular garden with a 30- foot radius ?

Answer 1

1 foot = 12 inches

12+12+6=30 foot radius

Answer 2

We need 31 flowers to surround the garden.

SOLUTION:

Given, flowers spaced every 6 inches around a circular garden with a 30- foot radius.

Let the number of flowers be x.

Radius (r) = 30 ft

Then, perimeter of the circle =
`2\pi r`

`= 20 * \pi * 30`
`= 60\pi`

= 188.4955 = 189.5 ft approximately

Now, the number of flowers to surround the garden is total available path distance divided by space between flowers.

`x=(188.5)/(6)=31.4159 \mathrm{ft}`

We can neglect the fractional part as that fraction represents the space is less than 6, which means the circular path is surrounded.

Hence, we need 31 flowers to surround the garden.