Cone Lateral Surface Area Calculator

Quickly calculate the lateral surface area of a cone using its radius and slant height. Visualize the cone and understand the formula.

The formula for the Lateral Surface Area of a cone is:

A = π × r × s

Where: A = Lateral Surface Area, π ≈ 3.14159, r = Radius, s = Slant Height

Radius (r)

units

Slant Height (s)

units

Result

Lateral Surface Area (A):

Cone Visualization

Understanding Cone Lateral Surface Area

The lateral surface area of a cone is the area of the curved surface, excluding the base. It's like the label around an ice cream cone. Knowing how to calculate this is useful in various real-world applications, from construction to design.

The formula to calculate the lateral surface area (A) of a cone is given by:

A = π × r × s

Where 'r' is the radius of the base, 's' is the slant height of the cone, and 'π' (pi) is approximately 3.14159.

For example, if you have a cone with a radius of 5 units and a slant height of 10 units, the lateral surface area would be approximately π * 5 * 10 = 157.08 square units.

Radius (r): The radius of the circular base of the cone.
Slant Height (s): The distance from the vertex of the cone to any point on the edge of the circular base.
Lateral Surface Area: The area of the curved surface of the cone.

Source: Wikipedia - Cone