Arc Length
A fractional distance of thecircumference of a circledefined bythe arc
Arc length is the length of a curve in a two-dimensional plane. It can be calculated using calculus by integrating the distance formula along the curve.
The formula for arc length is as follows:
`L = ∫sqrt[1+(dy/dx)^2]dx`
Where `dy/dx` is the derivative of the function defining the curve with respect to `x`.
To find the length of an arc between two points `(x1, y1)` and `(x2, y2)`, we would need to use this formula with the limits of integration being `x1` and `x2`.
It is important to note that the formula assumes that the curve is smooth and has a continuous derivative. Also, it is not always possible to find an exact value for the arc length using this formula, so approximate methods may need to be used in some cases.
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