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Longest Interval Of Annulus Given Area Calculator

Formula Used:

\[ l = 2 \times \sqrt{\frac{A}{\pi}} \]

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1. What is the Longest Interval of Annulus?

The longest interval of annulus is the length of the longest line segment within the annular region, which is the chord tangent to the inner circle of the annulus.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = 2 \times \sqrt{\frac{A}{\pi}} \]

Where:

Explanation: This formula calculates the diameter of a circle that has the same area as the given annulus, which corresponds to the longest possible chord length within the annular region.

3. Importance of Longest Interval Calculation

Details: Calculating the longest interval of an annulus is important in various engineering and geometric applications where the maximum span or clearance within an annular space needs to be determined.

4. Using the Calculator

Tips: Enter the area of the annulus in square meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped region bounded by two concentric circles.

Q2: Why is the longest interval important?
A: It represents the maximum distance between any two points within the annular region, which is crucial for various design and engineering applications.

Q3: Can this formula be used for any annulus?
A: Yes, this formula works for any annulus regardless of the sizes of the inner and outer circles, as long as the area is known.

Q4: What units should be used?
A: The calculator uses meters for length and square meters for area, but the formula works with any consistent unit system.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given area, using the precise value of π for computation.

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