Area of an Oval Calculator

Do you want to calculate the area of an oval (ellipse) easily? Use this oval area calculator, it can quickly computes the area for you by just entering the major and minor axis values into the calculator. The tool is designed to help students, engineers, and anyone needing quick and accurate oval area calculations.

Area of an Oval Calculator

Enter any 2 values to calculate the missing variable



















Area of an Oval Calculation tool

What Is the Area of an Oval?

The area of an oval, also known as an ellipse, is the space enclosed within its boundary. It is determined by the lengths of its major axis (the longest diameter) and minor axis (the shortest diameter). The formula to find the area of an oval is derived from the formula for the area of a circle.

How to Use the Calculator

Using the Area of an Oval Calculator is simple:

  1. Enter the length of the major axis.
  2. Enter the length of the minor axis.
  3. Click on the “Calculate” button to get the area.

If you have the area and one of the axes, you can also find the other axis by entering the known values and leaving the unknown field empty.

How to Calculate the Area of an Oval?

To calculate the area of an oval, use the following formula:

Formula:

A=π×a2×b2A = \pi \times \frac{a}{2} \times \frac{b}{2}

Variables

Variable Description
A Total area
a Major axis (diameter)
b Minor axis (diameter)

Calculation Example

Let’s calculate the area of an oval with a major axis of 10 units and a minor axis of 6 units.

1. Identify the values:

    • Major axis (a) = 10 units
    • Minor axis (b) = 6 units

2. Apply the formula:

A=π×a2×b2A = \pi \times \frac{a}{2} \times \frac{b}{2}

3. Substitute the values:

A=π×102×62A = \pi \times \frac{10}{2} \times \frac{6}{2}

A=π×5×3A = \pi \times 5 \times 3

4. Calculate the area:

A=π×15A = \pi \times 15

A=3.14159×15A = 3.14159 \times 15

A47.12   A \approx 47.12

The area of the oval is approximately 47.12 square units.

Calculation Examples

1. Basic Calculation

Major Axis (units) Minor Axis (units) Area (square units)
10 6 47.12
14 8 87.96

2. Advanced Calculation

Major Axis (units) Minor Axis (units) Area (square units)
20 10 157.08
25 12 235.62

FAQs

1. What is the major axis of an oval?

The major axis is the longest diameter of the oval, stretching from one end to the other through the center.

2. Can I calculate the minor axis if I know the area and the major axis?

Yes, you can. By rearranging the area formula, you can solve for the minor axis.

3. Why is π (pi) used in the formula?

Pi (π) is used because the formula for the area of an oval is derived from the formula for the area of a circle, which also involves π.

I hope you find this Area of an Oval Calculator useful. It simplifies the process of calculating the area of an oval, making it quick and accurate. If you have any questions or encounter any issues, feel free to contact me.

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