JavaScript Program to Find the Area of Sphere

A sphere is a three-dimensional geometric shape that is perfectly round and symmetrical in all directions. It is defined as the set of all points in space that are equidistant (at an equal distance) from a central point. This central point is called the center of the sphere. In this article, we are going to learn how to find the area of the Sphere.

The area (A) of a sphere can be calculated using the given formula:

Area(A) = 4 * π * r²

where,

• π represents the mathematical constant Pi (approximately 3.14159),
• r represents the Radius of the Sphere

Example:

Input : radius = 5
Output: Area of the sphere: 314.16
Explanation: Using the formula we get 4*3.1416*5*5 = 314.16


Input : radius = -10
Output: Error: Invalid radius. Please enter a valid positive number.
Explanation: As the radius is negative which is not possible so it will show an error.

Approach:

• A function named calculateSphereArea is defined, which takes the radius of a sphere as an argument.
• The function begins by checking if the provided radius is a valid number and greater than or equal to 0.
• If the radius is not a valid number or is negative, the function returns an error message indicating that the radius is invalid.
• If the radius is valid, the function proceeds to calculate the area of the sphere using the formula 4πr^2.
• The calculated area is returned as the result of the function.

Example: Below is the function to find area of Sphere:

Javascript

// Function to calculate the area of a sphere
function calculateSphereArea(radius) {

    // Check if the radius is a valid number
    if (isNaN(radius) || radius < 0) {
        return "Error: Invalid radius. Please enter a valid positive number.";
    }

    // Calculate the area of the sphere
    let area = 4 * Math.PI * Math.pow(radius, 2);

    return area;
}

// Example usage
// You can change this to any value, including invalid ones
let radius = 5;
let sphereArea = calculateSphereArea(radius);

// Check if the result is a number before displaying
if (typeof sphereArea === 'number') {

    // toFixed(2) for two decimal places
    console.log("Area of the sphere: " + sphereArea.toFixed(2));
} else {

    // Display the error message
    console.log(sphereArea);
}

Output

Area of the sphere: 314.16

Time complexity: O(1), as the execution time is constant and does not grow with the size of the input.

Auxilitary Space complexity: O(1) as it uses a constant amount of memory regardless of the input size.