Home Back

Center to Base Radius Length of Spherical Segment Calculator

Formula Used:

\[ l_{Center-Base} = \frac{r_{Base}^2 - r_{Top}^2 - h^2}{2 \times h} \]

m
m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Center to Base Radius Length of Spherical Segment?

The Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment. It is an important geometric parameter in spherical segment calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Center-Base} = \frac{r_{Base}^2 - r_{Top}^2 - h^2}{2 \times h} \]

Where:

Explanation: This formula calculates the distance from the center of the sphere to the base of the spherical segment using the radii of both bases and the height of the segment.

3. Importance of Center to Base Radius Length Calculation

Details: This calculation is crucial in geometry and engineering applications involving spherical segments, such as tank design, architectural domes, and various mechanical components.

4. Using the Calculator

Tips: Enter all measurements in meters. Base radius, top radius, and height must be positive values, with height greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: All inputs should be in consistent units (meters are recommended). The result will be in the same units.

Q2: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q3: What if the result is negative?
A: A negative result indicates that the center of the sphere is located below the base of the spherical segment.

Q4: Are there any limitations to this formula?
A: This formula assumes a perfect spherical segment and may not be accurate for irregular shapes or deformed spheres.

Q5: Can this be used for spherical cap calculations?
A: Yes, a spherical cap is a special case of a spherical segment where the top radius is zero.

Center to Base Radius Length of Spherical Segment Calculator© - All Rights Reserved 2025