Ellipse Tutorial

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
big-ellipse
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:

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

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