Ellipse Area Calculator

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Ellipse Area Calculator

Ellipse area calculator is an advanced online tool that calculates the area of an ellipse. It only takes major (axis a) and minor radius (axis b) from the user and calculates the ellipse area. Along with area of ellipse, it also calculates:

  • Axis a
  • Axis b
  • Circumference of ellipse

Ellipse is a squeezed-type shape which is why, ellipse calculator can be used to calculate the area of an oval. Yes you heard it right. Not only area of ellipse, you can also find area of oval using this tool.

In this post, we will explain how can you find area of a ellipse using this calculator, ellipse definition, area of ellipse formula, how to calculate area of ellipse, and much more. So don’t go away, if you want some dose of fresh knowledge.

How to use ellipse area calculator?

Similar to our other calculators, ellipse calculator has a simple interface. It eliminates any complexity that one can face during area of ellipse calculation. What’s the point of developing a calculator if it doesn’t bring simplicity to the calculations right?

Well, our online tool is interactive, intuitive, and accurate. To use this calculator, follow these steps below:

  • Select the option to solve for – you can select one of these to calculate:
    • Area
    • Axis a
    • Axis b
    • Circumference
  • Choose the given values from the drop down list.
  • Enter the values in the respective input boxes. i.e., in case of area, you have to enter axis a, and axis b.
  • Hit the Calculate button to get the result.

It calculates the selected value for ellipse in no time at all. It shows you the formula for the calculation and also a step by step process to calculate the value.

Ellipse and all other geometrical shapes give tough time to students to solve problems. We have several other geometrical calculators to make your life easier. Encountered a problem with trapezoid or circle area? You can use our circle area calculator or trapezoid area calculator anytime.

What is an ellipse?

In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. As such, it generalizes a circle, which is the special type of ellipse in which the two focal points are the same.” Wikipedia - Ellipse.

Ellipse area formula

Area of an ellipse equation can be expressed as:

A = a × b × π

Where:

A is the area of ellipse,

a represents the major radius of ellipse

b represents the minor radius of ellipse

π is a constant having value of 3.1415.

Circumference of ellipse formula

Ellipse circumference formula can be stated as:

C = π (3 (a + b) - [(a + 3 b) (3 a + b)] 1/2)

How to calculate area of an ellipse?

Calculating the area of an ellipse by yourself could be a little trickier because you have to get the major and minor radius of ellipse. If you already have these both radii, then it would be a simple task.

To calculate area of an ellipse, follow the steps below:

  • Write down the major radius (axis a) and minor radius (axis b) of ellipse.
  • Write down the area of ellipse formula.
  • Substitute the values in the formula and calculate the area.

Let’s find the area of ellipse with an example.

Example:

Find the area of an ellipse having major radius of 6cm and minor radius of 2 cm?

Solution:

Step 1: Write down the major radius (axis a) and minor radius (axis b) of ellipse.

Axis a = 6 cm, axis b = 2 cm

Step 2: Write down the area of ellipse formula.

A = a × b × π

Step 3: Substitute the values in the formula and calculate the area.

A = 6 × 2 × 3.1415

A = 37.7 cm2

So, the area of an ellipse with axis a of 6 cm and axis b of 2 cm would be 37.7 cm2.

FAQ’s

How do you plot an ellipse?

To plot an ellipse,

  • Find the length and center of the minor and major axis.
  • Graph the ellipse to define the co-vertices and vertices.
  • Plot the foci of the ellipse.

What is a semi ellipse?

A semi ellipse is a half ellipse that comprises of both ends of the major axis of the ellipse. A semi ellipse equation can be expressed as:

x2/ a2 + y2/ b2 = 1

What is A and B in an ellipse?

represents the major radius of the ellipse which lies on x-axis while B represents the minor radius of the ellipse which lies in y-axis. Both of these radii are used to calculate the area or circumference of the ellipse.

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Reviews
Armando S. Brumit | 15/08/2019

Well Done. I use this calculator on daily basis. Keep up the good work.

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