how can you make a fence with the least amount of materials that encloses maximum possible area? this one is bit " curved " and needs to think outside the " Fence "
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We don't usually make "curved fences".
Mathematically, with a limited length of fence, a fence in the form of a circle encloses the maximum area.
If the fence has to be straight, then it's a square has the maximum area for a given length of fence (or the least fence for the same area).
To solve this problem, we need to think about the shape that encloses the maximum possible area with the least amount of materials. The shape that meets these requirements is a circle.
Here's how to create a circular fence with the least amount of materials that encloses the maximum possible area:
1. Calculate the circumference of the circle: The formula for the circumference is C = 2πr, where π is a constant approximately equal to 3.1416, and r is the radius of the circle.
2. Determine the radius of the circle: Divide the circumference by 2π to find the radius. Let's say you want to make a fence with a circumference of 20 meters. The radius would be 20 / (2 × 3.1416) ≈ 3.183 meters.
3. Calculate the area of the circle: The formula for the area of a circle is A = πr^2. Using the radius obtained in step 2, the area would be ≈ 3.1416 × (3.183)^2 ≈ 31.801 square meters.
By following these steps, you can create a circular fence with a circumference of 20 meters and an area of approximately 31.801 square meters, using the least amount of material possible.