How many​ flowers, spaced every 6​ inches, are needed to surround a circular garden with a 50

​-foot
​radius?

1 answer

To find the circumference of the circle, we use the formula:

Circumference = 2πr

Where r is the radius of the circle and π is approximately 3.14.

Substituting r = 50 feet, we get:

Circumference = 2π(50) = 100π ≈ 314.16 feet

Since the flowers are spaced 6 inches apart, we need to convert feet to inches:

314.16 feet × 12 inches/foot = 3769.92 inches

To determine how many flowers are needed, we divide the circumference by the spacing between the flowers:

3769.92 inches ÷ 6 inches/flower ≈ 628.32 flowers

Since we can't have a fraction of a flower, we round up to the nearest whole number:

628.32 ≈ 629 flowers

Therefore, we need 629 flowers to surround the circular garden with a 50-foot radius, spaced every 6 inches.