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A paper cone has an e-inch slant height and an r-inch base radius. in terms of the quantities e and r, write a formula for the lateral area of the cone. in other words, find the area of the circular sector obtained by cutting the cone from base to vertex and flattening it out.

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Final answer:

The lateral area of a cone can be found by using the formula: Lateral Area = π * r * e, where r is the base radius of the cone and e is the slant height of the cone.

Step-by-step explanation:

The lateral area of a cone can be found by finding the area of the circular sector obtained by cutting the cone from base to vertex and flattening it out. The formula for the lateral area of a cone is given by:

Lateral Area = π * r * e

where r is the base radius of the cone and e is the slant height of the cone.

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