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