Parabola Area

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:

A=2/3⋅a⋅b

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.