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

Accepted Solution

Answer:[tex]3,768\ flowers[/tex]Step-by-step explanation:step 1Find the circumference of the circular gardenThe 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 2Convert feet to inchesRemember that[tex]1\ ft=12\ in[/tex][tex]942\ ft=942*12=11,304\ in[/tex]step 3Divide the circumference by 3 in to calculate the number of flowers[tex]11,304/3=3,768\ flowers[/tex]