# Area, Perimeter & Volume of Ellipse Calculator, Formula & Solved Example

Area  =  94.2478
Perimeter  =  34.7 CALCULATE

Ellipse calculator - step by step calculation, formulas & solved example problem to find the area, perimeter & volume of an ellipse for the given values of radius R1, R2 & R3 in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, ellipse is a regular oval shape, like a circle that has been squeezed on two sides having radius major & minor radius R1 & R2. The ellipse calculator, formulas, solved example & step by step calculations may useful for users to understand how the input values are being used in such calculations. Also this featured ellipse calculator uses the various conversion functions to find its surface area & volume in SI or metric or US customary units.

## Ellipse & its Formulas

The following mathematical formulas are used in this ellipse calculator to find the area, perimeter & volume of an ellipse. ### Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the area, perimeter & volume of an ellipse.

Example Problem :
Find the area, perimeter & volume of an ellipse having the radius R1, R2 & R3 of 6 cm, 7 cm, 9 cm respectively?

Solution :
The given values

Step by step calculation
formula to find area = π R1 R2
substitute the values
= π x 62
= 132 cm2

formula to find the perimeter = 2π (√(R12 + R22) / 2)
substitute the values
= 2π x (√(62 + 72) / 2)
= 40.97 cm2

formula to find the volume = (4π/3) x R1 x R2 x R3
substitute the values
= (4π/3) x 6 x 7 x 9
= 1584 cm3

The area, perimeter & volume of an ellipse may required to be calculated in SI or metric or US customary unit systems, therefore this ellipse calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

 10 mm = 1 cm100 mm = 3.93 in1000 mm = 3.28 ft1000 mm = 1 m 1 cm = 10 mm10 cm = 3.93 in100 cm = 3.28 ft100 cm = 1 m 1 ft = 3048 mm1 ft = 304.8 cm1 ft = 12 in10 ft = 3.048 m 1 in = 25.4 mm1 in = 2.54 cm100 in = 8.33 ft100 in = 2.54 m

In the field of area & volume calculations, finding the area, perimeter & volume of an ellipse is important sometimes. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate ellipse's area, perimeter & volume manually, however, when it comes to online to perform quick calculations, this ellipse calculator may be useful to find the results.