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Geometry

Surface Area of a Sphere

Formula
SA = 4 × π × r²

What is Surface Area of a Sphere?

The surface area of a sphere is four times pi times the square of the radius. It represents the total area of the outer surface of the sphere.

Variables

  • S
    SA — Surface area
  • r
    r — Radius
  • π
    π — Pi (approximately 3.14159)

Worked Examples

Example 1

Find the surface area of a sphere with radius 6 cm.

Solution:

SA = 4 × π × 6² = 4 × π × 36 ≈ 452.39 cm²

Frequently Asked Questions

Related Formulas

Area of a Circle

A = π × r²

Circumference of a Circle

C = 2 × π × r

Area of a Rectangle

A = l × w

Area of a Triangle

A = ½ × b × h

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