Flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. The point where any seed is planted must be 2 feet away from the seefs on either side of it. What is the maximum number of seeds that can be planted.
(pi d/2)
the great pyramid at giza is a square-based pyramid with height
To determine the maximum number of seeds that can be planted, we need to consider the spacing constraints. Each seed must be planted 2 feet away from the seeds on either side of it.
Let's approach this problem step by step:
1. Start with the diameter of the circle, which is 8 feet. The radius (half of the diameter) is 4 feet.
2. Each seed needs to be planted 2 feet away from the seeds on either side. That means we need 2 feet of space on either side of each seed.
3. To calculate the distance between each seed, we add the space needed on both sides: 2 feet + 2 feet = 4 feet.
4. Now, let's find out how many seeds can fit along the circumference of the circle. The formula for the circumference of a circle is C = 2πr, where π (pi) is approximately 3.14 and r is the radius.
C = 2π(4 feet)
C ≈ 25.12 feet
5. Since the distance between each seed is 4 feet, we divide the circumference by 4 (25.12 ÷ 4) to find the maximum number of seeds that can be planted.
25.12 feet ÷ 4 feet ≈ 6.28
6. However, we need a whole number for the number of seeds because we can't have a fraction of a seed. So, we round down to the nearest whole number.
Rounded down to the nearest whole number: 6 seeds
Therefore, the maximum number of seeds that can be planted is 6.