Area of Zone of Sphere
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Theorem
Let $\ZZ$ be a zone of a sphere $\SS$.
The area $\AA$ of $\ZZ$ is given by:
- $\AA = 2 \pi R h$
where:
Proof
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Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 4$: Geometric Formulas: Spherical Cap of Radius $r$ and Height $h$: $4.41$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): zone
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): zone
- 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 7$: Geometric Formulas: Spherical Cap of Radius $r$ and Height $h$: $7.41.$