Calculadora de Superfície da Esfera
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
S = 4πr²
About this calculator
The Sphere Surface Area Calculator determines the total surface area of a sphere based on its radius. The surface area is the measure of the entire outer region of the sphere, like the shell of a ball. The formula used is S = 4πr², where S is the surface area, π (pi) is a constant approximately equal to 3.14159, and r is the radius of the sphere. This calculator simplifies the process, avoiding manual calculations and reducing errors.
You can use this tool in various practical situations, such as calculating the amount of paint needed to paint a decorative ball, estimating material to cover a spherical dome, or solving geometry problems in the classroom. Simply enter the radius value in centimeters, meters, or any length unit, and the calculator provides the surface area in the corresponding square unit.
It is important to remember that the formula assumes a perfect sphere. In practice, spherical objects may have small imperfections, but the calculation still offers a good approximation. Make sure to use the correct radius (half the diameter) and maintain unit consistency. If you have the diameter, divide by 2 to get the radius before using the calculator.
Frequently asked questions
How do I calculate the surface area of a sphere if I have the diameter?
Divide the diameter by 2 to get the radius, then enter that value into the calculator.
What unit of measurement should I use for the radius?
Use any length unit (cm, m, inches). The area will be in the corresponding square unit.
Does the formula work for any sphere, like a soccer ball?
Yes, the formula S = 4πr² applies to any perfect sphere, regardless of size.
Can I use this calculator to find the area of a hemisphere?
Not directly. For a hemisphere, calculate the full sphere area and divide by 2, then add the area of the circular base (πr²).
What is π and why is it used?
π (pi) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is used because the sphere's surface area is related to circular geometry.