Surface Area of a Sphere

📊 beginner

$$A = 4\pi r^2$$

The total area of the exterior of a sphere.

Variables & Units

$A$

Surface Area

Unit: Square units

$r$

Radius

Unit: Length units

Key Information

📐 Derived From

Derivative of the volume of a sphere.

💡 Example

Earth's surface area approx $5.1 \times 10^8 km^2$.

🔧 Applications

Atmospheric science and ballistics.

⚠️ Constraints

Geometric sphere.

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