Learn how to calculate the area, volume, perimeter of Ellipse, tutorial, definition, example, formula, image

Ellipse Tutorial

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>> Ellipse Calculator.

Ellipse Tutorial

Ellipse Definition:
A ellipse is a locus of points in a plane such that the sum of the distances to two fixed points is a constant.

Ellipse Formula:
Area of Ellipse = πr₁r₂
Volume of Ellipse = (4/3)πr₁r₂r₃
Perimeter of Ellipse = 2πSqrt((r₁² + r₂²) / 2)
where
r₁, r₂ and r₃ = radii

Ellipse Image/Diagram

Ellipse Example:
Case 1: Find the area and perimeter of an ellipse with the given radii 3, 4.

Step 1: Find the area.
Area = πr₁r₂ = 3.14 * 3 * 4 = 37.68 .

Step 2: Find the perimeter.
Perimeter = 2πSqrt((r₁² + r₂²) / 2) = 2 * 3.14 * Sqrt((3² + 4²) / 2)
= 6.28 * Sqrt((9 + 16) / 2) = 6.28 * Sqrt(25 / 2)
= 6.28 * Sqrt(12.5) = 6.28 * 3.53 = 22.2.

Case 2: Find the volume of an ellipse with the given radii 3, 4, 5.

Step 1: Find the volume.
Volume = (4/3)πr₁r₂r₃ = (4/3) * 3.14 * 3 * 4 * 5 = 1.33 * 188.4 = 251

The above example will clearly illustrates how to calculate the Area, Perimeter and Volume of an Ellipse manually.

Related Calculator:
>> Ellipse Calculator.

This tutorial will help you dynamically to find the Math area problems.