landscape is designing a display of flowers for an area in a public park. The flower seeds will be planted at points lie on a circle that has a diameter of 8 feet. The point where seed is planted must be at least 2 feet away from seeds on the either side of it.

A. What is the maximum number o flower seeds that can be planted using design?

B. After planting the flower seeds, the landscaper has 20 seed left over. The landscaper wants to plant all, the remaining seeds in another circle so that the seeds are 2 feet apart. To the nearest tenth of a foot. What is the diameter o the smallest circle that the landscaper can use to plant all of the remaining seeds.

I started you with Part A in your last post. Now -- draw a picture to figure out how many seeds are needed around that circle.

After you've found the answer to Part A, please post it, and I'll help you from there.

I posted again because I did not understand how to calculate.

(A): the circle has a circumference of 8π feet. If the seeds are at least 2 ft apart, then at most 8π/2 = 4π ≈ 12 seeds may be planted.

Whose question is this -- kudu's or jah's?

What part of this don't you understand?

C = pi * d
C = 3.14 * 8
C = 25.12 feet

What part of this don't you understand? Part B

How many seeds did the gardner have left over from Part A?

Part B. Find the circumference. Divide by 20.

C = pi * d

4pi/20

is that right?

Where did you get 4?

8 diameter divide by2 apart

To solve both questions, we need to understand the spacing requirements and the arrangement of seeds on a circle.

Let's begin with the first question, where we need to find the maximum number of flower seeds that can be planted using the given design.

A. To determine the maximum number of flower seeds, we need to calculate the circumference of the circle and the spacing between each seed.

1. Circumference of the circle:
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
In our case, the diameter is given as 8 feet, so substituting the value, we get C = π(8) = 8π feet.

2. Spacing between seeds:
The spacing between the seeds is stated as at least 2 feet on either side of each seed. This means there should be a minimum distance of 4 feet between consecutive seeds.

To find the maximum number of seeds, we can divide the circumference of the circle by the total distance needed for each seed and spacing:
Max Number of Seeds = Circumference / (Seed Distance + Spacing Distance)

Max Number of Seeds = 8π / (2 + 4)
Max Number of Seeds = 8π / 6 ≈ 4.1887

Therefore, the maximum number of flower seeds that can be planted using this design is approximately 4.

Now, let's move on to the second question.

B. We need to find the diameter of the smallest circle that can accommodate the remaining 20 seeds, with a spacing of 2 feet between each seed.

1. Number of remaining seeds: Given as 20 seeds.

2. Spacing between seeds:
The spacing is defined as 2 feet.

We can use a similar formula as before to calculate the circumference and then find the diameter.

Circumference = Number of Seeds × (Seed Distance + Spacing Distance)
Circumference = 20 × (2 + 2)
Circumference = 20 × 4 = 80 feet

Now, we can calculate the diameter of the circle using the formula:

Circumference = πd
80 = πd

Solving for d:
d = 80 / π ≈ 25.46 feet (rounded to the nearest tenth)

Therefore, the diameter of the smallest circle to accommodate all the remaining seeds would be approximately 25.5 feet (rounded to the nearest tenth).