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`A = 2/3 * "a" * "b" `

Enter a value for all fields

The **Area of a Parabola **calculator 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**) The length along the axis - (
**b**) The length of the chord

**Parabola Area (A):** The calculator returns the area of the parabola in square meters. However, this can be automatically converted to compatible units via the pull-down menu.

**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.

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.

A visual look at how to construct a parabola: