Surface Area of a Sphere
Surface Area of a Sphere
\[A=4\pi r^2\]
Variables
A = sphere surface area
r = sphere radius
Description
What is this formula?
This formula calculates the total surface area of a sphere using its radius. The surface area represents the entire outer area that covers the sphere.
When to use it
Use this formula when calculating the external area of spherical objects for coating, painting, heat transfer, or material estimation.
Example
If the radius of a sphere is 3 m:
A = 4π(3)^2
A ≈ 113.10 m²
Applications
- Geometry and mathematics
- Mechanical engineering
- Heat transfer calculations
- Surface coating estimation
- Industrial tank design
- Physics and astronomy
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