How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 20
-foot
radius?
To find the circumference of the circular garden, we use the formula:
C = 2πr
where r is the radius of the garden. Plugging in r = 20 feet, we get:
C = 2π(20) = 40π feet
Now we can divide the circumference of the garden by the spacing between the flowers to find the number of flowers needed:
40π feet / 6 inches = (40π * 12) flowers = 481 flowers
Therefore, 481 flowers spaced every 6 inches are needed to surround the circular garden with a 20-foot radius.
To determine the number of flowers needed to surround a circular garden with a 20-foot radius, we need to calculate the circumference of the garden.
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the radius of the garden is 20 feet, we can calculate the circumference as follows:
C = 2π(20)
C = 40π feet
Now, we need to determine the spacing between each flower. In this case, the spacing is every 6 inches, which is equal to 0.5 feet (since 1 foot = 12 inches).
To find the number of flowers needed, we need to divide the circumference of the garden by the spacing between the flowers:
Number of flowers = Circumference / Spacing
Number of flowers = (40π) / 0.5
Now we can calculate the number of flowers needed:
Number of flowers = 80π
Therefore, approximately 251.33 flowers (rounded to the nearest whole number) would be needed to surround the circular garden with a 20-foot radius, with the flowers spaced every 6 inches.