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`A = 2/3 * "a" * "b" `
Enter a value for all fields
The Area of a Parabola equation computes the area of a parabola section based 
on the distance (a) from the apex of the parabola along the axis to a point, and the width (b) of the parabola at that point perpendicular to the axis.
INSTRUCTIONS: Choose units and enter the following:
- (a) Length along Axis of Symmetry
- (b) Length of Chord
Parabola Area (A): The equation returns the area of the parabola in square meters. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the area of a parabola is:
where:
- A is the area of the parabola
- a is the length along the axis
- b is the length of the chord perpendicular to the axis.
References
“Segment of a Parabola (4.24).” Mathematical Handbook, by Murray R Spiegel, 36th ed., McGraw Hill, 1997.
Parabola Calculators
- Parabola Formula: This computes the y coordinate of a parabola in the form y = a•x²+b•x+c
- Parabolic Area: This computes the area within a section of a parabola
- Parabolic Area (Concave): This computes the outer area of a section of a parabola.
- Parabolic Arc Length: This computes the length a long a segment of a parabola.
- Paraboloid Volume: This is the volume of a parabola rotated around an axis (i.e. paraboloid)
- Paraboloid Surface Area : This is the surface area of a paraboloid.
- Paraboloid Weight: This is the weight or mass of a paraboloid.
- Ballistic Flight Parabolic Equation: This provides the formula of the parabola that matches a ballistic flight.