That's the after? Or just marking where you intend to cut? Looks like it has pretty good margins to increase diameter.
I don't follow the 138% flow increase, shouldn't it scale with area? Or is there some other rule of thumb?
The marks are where I intend to cut.
why do small increases in the radius of a circle cause large increases in the circles area??
Chat gpt answer
“
This occurs due to the quadratic relationship between a circle's radius and its area, which is governed by the formula A = πr².
Let's break this down step-by-step:
1. Mathematical Relationship
- Area = πr²
- This is a quadratic (squared) equation, not a linear one
- When r increases, the area increases by r²
2. Example Demonstration
- If radius goes from 1 to 2:
• At r=1, Area = π(1)² = π
• At r=2, Area = π(2)² = 4π
• The area increased by 4 times, not just 2 times
3. Why This Happens
- Each time radius increases by 1 unit, area increases quadratically
- Small changes in radius get "squared", causing larger area changes
- The effect becomes more pronounced with larger radii
4. Visual Representation
- Imagine drawing increasingly larger circles
- Small radius increases create exponentially larger "spread" of area
5. Practical Implication
- In design, engineering, or scientific calculations, even minor radius changes can dramatically affect total area or volume
This quadratic relationship is why small radius changes have such significant area impacts.”