Parabolic Arc Calculation

Calculators and formula for calculating parabolic arc

Calculate the area and length of a parabolic arc


This function calculates the length and area of a parabolic arc.

To perform the calculation, enter the height h and the length of the chord b, then click on the 'Calculate' button.


Calculate arc of parabolic

Input
Height h
Chord b
Decimal places
 Result
Arc length
Area
Parabel

Formulas for calculating a parabola

Area   \(\displaystyle A = \frac{2}{3}hb\)

Arc length

\(\displaystyle L = \frac{1}{2}s+\frac{b^2}{8h}\,ln\left(\frac{4h+s}{b} \right)\)

\(\displaystyle s = \sqrt{b^2+16h^2} \)
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