Question

how many flowers, spaced every 6 inches, are needed to surround a circular garden with a 10 - foot radius? (round to the nearest whole number as needed.)

Explanation:

Step1: Convert radius to inches

Since 1 foot = 12 inches, a 10 - foot radius is $10\times12 = 120$ inches.

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is $C = 2\pi r$. Substituting $r = 120$ inches, we get $C=2\pi\times120=240\pi$ inches.

Step3: Determine the number of flowers

Divide the circumference by the spacing between flowers. The number of flowers $n=\frac{240\pi}{6}=40\pi\approx40\times3.14 = 125.6$.

Step4: Round to the nearest whole number

Rounding 125.6 to the nearest whole number gives 126.

Answer:

126