Sphere Surface Area Calculator
SA = 4πr². Exactly 4× the area of a great circle of the same radius.
Result
Surface area
314.1593
4πr² = 314.1593 = 4× great-circle area.
- Radius5
- Diameter10.0000
- Great-circle area78.539816
- Surface area314.159265
- Volume523.598776
Step-by-step
- Great circle (cross-section through center) area = πr² = 78.5398.
- Surface area = 4 × great circle = 4πr² = 314.1593.
How to use this calculator
- Enter radius.
- Read SA + great-circle area + volume.
About this calculator
Sphere surface area = 4πr², exactly four times the area of a great circle (a cross-section through the center). Archimedes proved this around 250 BCE — and was so proud he had it engraved on his tomb. Earth's surface ≈ 4π × (6371 km)² ≈ 5.1 × 10⁸ km². The sphere has the smallest surface area of any closed surface enclosing a given volume — why bubbles are spherical.
Frequently asked
A famous Archimedean result. The lateral surface of the cylinder circumscribing a sphere equals the sphere's surface area, both = 4πr².
Related calculators
Cylinder Surface Area Calculator
SA = 2πr² + 2πrh. Two circular ends + lateral wrap.
Cone Surface Area Calculator
SA = πr² + πrl, where l = √(r² + h²) is the slant height.
Cube Surface Area Calculator
SA = 6s². Six identical square faces.
Sphere Volume Calculator
V = (4/3)πr³. Surface area = 4πr².
Cylinder Volume Calculator
V = πr²h. Surface area = 2πr² + 2πrh (top + bottom + side).
Circle Circumference Calculator
C = 2πr (or πd). Area = πr². The fundamental circle formulas.