Lateral Area of Frustum of Right Circular Cone

Theorem

Let $F$ be a frustum of a right circular cone.

The lateral area $A$ of $F$ is given as:

$A = \pi s \paren {r_1 + r_2}$

where:

$r_1$ and $r_2$ are the radii of the bases of $F$

$s$ is the slant height of $F$.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): frustum
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): frustum