Question

How many​ flowers, spaced every 6 ​in., are needed to surround a circular garden with a ​100ft ​radius? Use 3.14 for π.

Thanks in advance!

Answer 1

the answer is 1256 flowers

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

C=2πr

If we substitute 100ft for r and use 3.14to approximate π we get a circumference of:

C=2⋅3.14⋅100ft

C=6.28⋅100ft

C=628ft

We can now convert the circumference in feet to inches;

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

7536in×1flower

6in⇒

7536in×1 flower6in⇒

7536×1 flower6⇒

1255 flowers