Sphere Area Calculator

Area is a numerical characteristic of a two-dimensional (flat or curved) geometric figure, informally speaking, showing the size of this figure. Historically, the calculation of the area was called quadrature. A figure having an area is called quadratic. Find the area of more than 22 shapes (triangle, square, pentagon, etc.) using our amazing calculator.

Sphere — a closed surface, all points of which are equally distant from one point (the center of the sphere). A segment connecting the center of a sphere with any point of it (as well as its length) is called the radius of the sphere.

If you're looking to calculate the surface area of a sphere, you're in the right place! Our sphere area calculator makes it easy to find the area of your sphere, without any complicated math. All you need to do is input the radius of your sphere, and our calculator will do the rest.

Sphere Area Formula

The formula for finding the surface area of a sphere is:

S = 4\pi R^2

where R is the radius of the sphere.

This identity is proved similarly to the area of a circle when a polyhedron is described around a sphere, the number of faces of which tends to infinity, and the size (area) of these faces, on the contrary, tends to zero. Then the total surface area of the polyhedron is as close as possible in value to the surface area of the sphere and equated to the product of pi by the four radii of the sphere squared.

Using this formula, you can find the surface area of any sphere. However, it can be time-consuming and difficult to calculate by hand, especially for larger spheres. That's where our sphere area calculator comes in - it does all the math for you, instantly.

How to Use the Sphere Area Calculator

Our sphere area calculator is easy to use. Simply enter the radius of your sphere in the input box, and our calculator will automatically find the surface area of your sphere.

1. Enter the radius of your sphere in the input box.
2. The calculator will automatically display the surface area of your sphere.

Sphere Area Examples

Here are some examples of finding the surface area of a sphere using the formula:

Example 1:

Find the surface area of a sphere with a radius of 5 units.

Solution:

S = 4\pi R^2= 4\pi5^2=100\pi

Example 2:

Find the surface area of a sphere with a radius of 3.5 units.

Solution:

S = 4\pi R^2= 4\pi3.5^2=49\pi

Conclusion

Calculating the surface area of a sphere is an important skill in mathematics and physics. Our sphere area calculator and formula make it easy to find the surface area of your sphere, without any complex math. Give it a try and see for yourself how easy it can be!