Step 1: Introduction to the Area of an Ellipse

The area of an ellipse is calculated using the mathematical formula πab where a and b are the semi-major and semi-minor axes respectively. For the purposes of this guide, we'll use the Math.PI property available in JavaScript, which provides the value of π up to the required precision.

Step 2: Defining the Function Signature

Begin by defining the function calculateAreaEllipse. This function takes in two parameters: a and b.

function calculateAreaEllipse(a, b) {

}

Step 3: Implementing the Ellipse Area Formula

Inside the function body, calculate the area of the ellipse using the formula πab and return the result.

function calculateAreaEllipse(a, b) {
  return Math.PI * a * b;
}

Step 4: Calling the Function

Now, we can call the function calculateAreaEllipse with the desired values for a and b, and log the result.

console.log(calculateAreaEllipse(4, 3));

Step 5: Conclusion

This is the complete implementation for calculating the area of an ellipse in JavaScript.

function calculateAreaEllipse(a, b) {
  return Math.PI * a * b;
}

console.log(calculateAreaEllipse(4, 3));

This script will calculate the area of an ellipse given the semi-major (a) and semi-minor (b) axes, logged to the console for verification.