# How to Calculate the Area of an Ellipse: 5 Steps (with Pictures)

## Video: How to Calculate the Area of an Ellipse: 5 Steps (with Pictures) Video: Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry 2023, October

The area equation for an ellipse will look easy if you've studied circles before. The main point to remember is that an ellipse has two important lengths to measure, namely the major and minor radii.

## Step

### Part 1 of 2: Calculating Area

#### Step 1. Find the major radius of the ellipse

This radius is the distance from the center of the ellipse to the farthest end of the ellipse. Think of these radii as the “bulging” radii of the ellipse. Measure the radius or look for the radius indicated on your diagram. We will refer to these fingers as a.

### You can call it the semimajor axis

#### Step 2. Find the minor radius

As you may have guessed, the minor radius measures the distance from the center of the ellipse to the nearest point at the end of the ellipse. Call these fingers b.

• This radius has a right angle of 90 degrees with the major radius. However, you don't need to measure every angle to solve this problem.
• You can call it the semiminor axis.

#### Step 3. Multiply by pi

The area of the ellipse is a x b x. Since you are multiplying two units of length, your answer is written in units of squares.

• For example, if an ellipse has a major radius of 3 units and a minor radius of 5 units, the area of the ellipse is 3 x 5 x or about 47 squared units.
• If you don't have a calculator or if your calculator doesn't have the symbol, just use 3, 14.