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For the calculation of ellipse perimeter and arc height on both sides, detailed calculation formula is required, The sole is 40 long and 18 wide The bottom is 36 in length and 14.5 in width Height 12
I didn't understand the condition you gave. There is no elementary function expression for the circumference of ellipse, which is the origin of elliptic function
There are two ways to find the circumference of an ellipse,
With the help of mathematical software and numerical integration, any precision can be achieved
2. Approximate formula is adopted, and several approximate formulas with different precision are provided as follows:
How to find the area and perimeter of ellipse?
The formula of ellipse circumference has been discussed for many times. Now the formula is copied as follows. Sometimes it can be measured on the graph, sometimes it is very convenient to calculate. If you write a program, you need to use the exact formula: according to the standard elliptic equation: long half axis A, short half axis B. let λ = (a-b) / (a + b), ellipse circumference L: l = π (a + b) (1
What's the perimeter and area of the ellipse?
The ellipse area formula s = Π (circumference) × a × B (where a and B are the length of the long and short half axes of the ellipse respectively). The accurate calculation of the ellipse circumference (L) needs integral or sum of infinite series. For example, the (0 - pi / 2) integral of L = 4A * sqrt (1-e ^ sin ^ t), where a is the long axis of the ellipse and E is the approximate calculation of eccentricity
With the same perimeter, the area of a circle is larger than that of an ellipse. Why?
To be complete. Be specific
If the circumference is the same, then: 2 π r = 2 π B + 4 (a-b), that is: π r = π B + 2 (a-b), then the area of the circle = π R & sup2; = π R (B + 2 (a-b)), if π R (B + 2 (a-b)) - π ab
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