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Radius of Spherical Corner given Total Surface Area Calculator

Formula Used:

\[ r = \sqrt{\frac{4 \times TSA}{5 \times \pi}} \]

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1. What is the Radius of Spherical Corner?

The Radius of Spherical Corner is the distance from the corner vertex to any point on the curved surface of the Spherical Corner, or it is the radius of the sphere from which the Spherical Corner is cut.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \sqrt{\frac{4 \times TSA}{5 \times \pi}} \]

Where:

Explanation: This formula calculates the radius of a spherical corner based on its total surface area, using the mathematical relationship between surface area and radius in spherical geometry.

3. Importance of Radius Calculation

Details: Calculating the radius of a spherical corner is essential in various geometric and engineering applications, particularly in 3D modeling, architectural design, and manufacturing processes involving spherical sections.

4. Using the Calculator

Tips: Enter the total surface area of the spherical corner in square meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Spherical Corner?
A: A Spherical Corner is a three-dimensional geometric shape formed by cutting a sphere with three mutually perpendicular planes through its center.

Q2: How is this formula derived?
A: The formula is derived from the relationship between the total surface area of a spherical corner and the radius of the original sphere from which it was cut.

Q3: What are the units for measurement?
A: The calculator uses meters for radius and square meters for surface area. Ensure consistent units when inputting values.

Q4: Can this calculator handle different units?
A: The calculator expects input in square meters. Convert other units to square meters before calculation for accurate results.

Q5: What is the precision of the calculation?
A: The calculator provides results with up to 6 decimal places, suitable for most engineering and geometric applications.

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