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Length Of Oloid Given Surface Area Calculator

Formula Used:

\[ l = 3 \times \sqrt{\frac{SA}{4\pi}} \]

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1. What is Length of Oloid?

The Length of Oloid is defined as the length of the Oloid from one end to the other. An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = 3 \times \sqrt{\frac{SA}{4\pi}} \]

Where:

3. Formula Explanation

Details: This formula calculates the length of an oloid based on its surface area. The formula uses the mathematical constant π and a square root function to derive the length from the given surface area measurement.

4. Using the Calculator

Tips: Enter the surface area of the oloid in square meters. The value must be a positive number greater than zero. The calculator will compute the corresponding length of the oloid.

5. Frequently Asked Questions (FAQ)

Q1: What is an oloid?
A: An oloid is a three-dimensional curved geometric shape discovered by Paul Schatz. It has the property that it rolls evenly on a flat surface.

Q2: What are the applications of oloids?
A: Oloids have applications in various fields including architecture, design, and engineering due to their unique geometric properties and aesthetic appeal.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the given formula. The accuracy of the result depends on the accuracy of the input surface area value.

Q4: Can this formula be used for any size of oloid?
A: Yes, the formula is scalable and can be used for oloids of any size, as long as the shape maintains the proper oloid proportions.

Q5: What units should be used for input?
A: The calculator expects surface area input in square meters (m²) and returns length in meters (m). Consistent units must be used throughout.

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