Answer: To find the number of flowers needed to surround a circular garden with a 100-ft radius, we need to first find the circumference of the garden, which is the distance around the circle. We can use the formula:
C = 2πr
where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
So, for a garden with a 100-ft radius, we have:
C = 2πr
C = 2 × 3.14 × 100
C = 628 feet (rounded to the nearest foot)
Step-by-step explanation: Number of flowers = Circumference / Spacing
Number of flowers = 628 feet / (1/3) feet
Number of flowers = 1884 (rounded to the nearest whole number)
Therefore, we need approximately 1884 flowers spaced every 4 inches to surround a circular garden with a 100-ft radius.