Final answer:
To surround a circular garden with a 30-foot radius, approximately 377 flowers, spaced every 6 inches, are needed.
Step-by-step explanation:
To find the number of flowers needed to surround a circular garden, we need to calculate the circumference of the garden. The formula for circumference is C = 2πr, where r is the radius. In this case, the radius is 30 feet. Therefore, the circumference is C = 2π(30) = 60π feet. Since the flowers are spaced every 6 inches, we need to convert the circumference to inches by multiplying it by 12. This gives us a circumference of 720π inches.
To find the number of flowers needed, we divide the circumference by the spacing. 720π inches / 6 inches = 120π flowers. When rounded to the nearest whole number, we get approximately 377 flowers needed to surround the circular garden.
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