Area, Perimeter & Volume of Ellipse Calculator, Formula & Solved Example
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
radius R1 = 6 cm
radius R2 = 7 cm
radius R3 = 9 cm
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 cm 100 mm = 3.93 in 1000 mm = 3.28 ft 1000 mm = 1 m |
1 cm = 10 mm 10 cm = 3.93 in 100 cm = 3.28 ft 100 cm = 1 m |
1 ft = 3048 mm 1 ft = 304.8 cm 1 ft = 12 in 10 ft = 3.048 m |
1 in = 25.4 mm 1 in = 2.54 cm 100 in = 8.33 ft 100 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.
