Torus Surface Area Calculator
Quickly calculate the surface area of a torus using its major and minor radii.
Input Radii
Enter the major and minor radii of the torus to calculate its surface area.
Radius from the center of the torus to the center of the tube.
Radius of the tube itself.
Result
The calculated surface area of the torus is:
Formula Used
The surface area of a torus is calculated using the formula:
Where \(R\) is the major radius and \(r\) is the minor radius of the torus.
Torus Visualization
A visual representation of a torus with major radius (R) and minor radius (r).
Learn About Torus Surface Area
A torus, often visualized as a doughnut shape, is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle but does not intersect it. The surface area of a torus measures the total area covering its outer surface.
The formula for the surface area of a torus is given by \(A = 4 \pi^2 R r\), where \(R\) is the major radius (distance from the center of the torus to the center of the tube) and \(r\) is the minor radius (radius of the tube itself). This calculator simplifies the process of finding this area, making it easy for students, engineers, and anyone needing to perform geometric calculations.
For further reading, you can refer to resources on geometric shapes and surface area calculations.