How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 150​-ft ​radius? Use 3.14 for pi.

Respuesta :

Answer:

[tex]3,768\ flowers[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circular garden

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=150\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute the values

[tex]C=2(3.14)(150)=942\ ft[/tex]

step 2

Convert feet to inches

Remember that

[tex]1\ ft=12\ in[/tex]

[tex]942\ ft=942*12=11,304\ in[/tex]

step 3

Divide the circumference by 3 in to calculate the number of flowers

[tex]11,304/3=3,768\ flowers[/tex]

The flowers needed to surround a ciruclar garden is 314.

What are the number of flowers needed?

The first step is to determine the cirucmference of the garden. The circumference is the distance round the garden.

Circumference = 2πr

2 x 3.14 x 150 = 942

Now divide the circumference of the garden by 3

942/3 = 314

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152