Sphere Surface Area Calculator
Calculate the surface area of a sphere by entering the radius. A sphere is a perfectly round 3D object.
⚪ Sphere Surface Area
Formula
Sphere Surface Area Formula
Surface Area
The surface area is 4 times the area of a circle with the same radius
Volume
Volume is four-thirds times π times radius cubed
Diameter
Diameter is twice the radius
Circumference
Circumference of the great circle
Sphere Surface Area Examples
Example 1: Small Sphere
Given: Radius = 2 cm
Formula: SA = 4πr²
Solution: SA = 4π × 2² = 4π × 4 = 16π ≈ 50.27 cm²
Example 2: Medium Sphere
Given: Radius = 5 cm
Formula: SA = 4πr²
Solution: SA = 4π × 5² = 4π × 25 = 100π ≈ 314.16 cm²
Example 3: Large Sphere
Given: Radius = 10 cm
Formula: SA = 4πr²
Solution: SA = 4π × 10² = 4π × 100 = 400π ≈ 1256.64 cm²
Sphere Surface Area FAQ
What is a sphere?
A sphere is a perfectly round 3D object where every point on the surface is exactly the same distance (radius) from the center.
How do you calculate sphere surface area?
To find the surface area of a sphere, use the formula SA = 4πr², where r is the radius of the sphere.
Why is the sphere formula 4πr²?
The formula comes from calculus and integration. It's exactly 4 times the area of a circle with the same radius (πr²).
What's the difference between surface area and volume?
Surface area measures the total area of the outer surface (in square units), while volume measures the space inside (in cubic units).