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Ellipse Calculator
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Ellipse is the oval shaped geometrical figure. Here the the distance from the every other point on the line is constant.
There are two types of axis in ellipse:
  1. Semi major axis
  2. Semi minor axis.

The semi major axis is the longest diameter of the ellipse whereas the semi minor axis is the shortest diameter. The width, length and height axis radius are R1, R2 and R3 respectively is used to determine the Volume of the ellipse.

Ellipse Calculator helps us to find the area, perimeter and the volume of an ellipse.
 

Steps for Ellipse Calculator

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Step 1 :  

Write the given Values of semi major axis and semi minor axis.



Step 2 :  

There are three formulas:


The Perimeter of the ellipse is given by
P = 2 $\pi$ $\sqrt{\frac{r_{1}^{2} + r_{2}^{2}}{2}}$.

The Area of the ellipse is given by
A = $\pi$ r1 r2
Where r1 = length of semi-major axis and
r2 = length of the semi-minor axis.


The Volume of the ellipse is given by


$\frac{4 \times \pi \times R_{1} \times R_{2} \times R_{3}}{3}$.


Where R1, R2 and R3 are width, length and height axis radius.


Substituting the values in the formula, we get the answer.



Problems on Ellipse Calculator

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  1. Find the area and perimeter of the ellipse, whose major axis radius is 7 cm and minor axis radius is 3cm?


    Step 1 :  

    Given: Length of Semi major axis r1 = 7 cm,


    Length of semi minor axis r2 = 3cm



    Step 2 :  

    The Perimeter of the ellipse is given by
    P = 2 $\pi$ $\sqrt{\frac{r_{1}^{2} + r_{2}^{2}}{2}}$.
       = 2 $\pi$ $\sqrt{\frac{7^{2} + 3^{2}}{2}}$


       =  33.83 cm2.
    The Area of the ellipse is given by
    A = $\pi$ r1 r2


       = 3.142 $\times$ 7 $\times$ 3


       = 65.982 cm2



    Answer  :  

    The Area of ellipse A = 65.982 cm2 and Perimeter of ellipse P = 33.83 cm2



  2. Calculate the Volume of a ellipsoid, if the width, length and height axis radius are 2 cm, 4 cm and 6 cm respectively.


    Step 1 :  

    given R1 = 2 cm,


    R2 = 4 cm,


    R3 = 6 cm



    Step 2 :  

    Using the formula,


    Formula  for volume of a ellipsoid V = $\frac{4 \times \pi \times R_{1} \times R_{2} \times R_{3}}{3}$.


     


    V = $\frac{4 \times 3.142 \times 2 \times 4 \times 6}{3}$


     


       = 201.06 cm3.



    Answer  :  

    The Volume of an ellipsoid = 201.06 cm3.



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