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Chord Length of Octagram given Area Calculator

Formula Used:

\[ l_c = \sqrt{\frac{A}{(6\sqrt{2}) - 8}} \]

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1. What is Chord Length of Octagram?

The chord length of an octagram is defined as the measure of the length of the octagram from end to end. It represents the straight-line distance between two points on the octagram's circumference.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_c = \sqrt{\frac{A}{(6\sqrt{2}) - 8}} \]

Where:

Explanation: This formula calculates the chord length of an octagram based on its known area, using the mathematical relationship between the area and chord length properties of an octagram.

3. Importance of Chord Length Calculation

Details: Calculating chord length is important in geometric analysis, architectural design, and various engineering applications where precise measurements of octagram properties are required.

4. Using the Calculator

Tips: Enter the area of the octagram in square meters. The value must be positive and valid for accurate chord length calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an octagram?
A: An octagram is an eight-pointed star polygon that is formed by connecting every third vertex of a regular octagon.

Q2: What are the units for chord length?
A: The chord length is typically measured in meters (m) or other length units, depending on the context of the problem.

Q3: Can this formula be used for any octagram?
A: This formula applies specifically to regular octagrams where all sides and angles are equal.

Q4: What if I get a negative value under the square root?
A: The area value must be large enough to ensure the denominator ((6√2)-8) remains positive for valid calculation.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of regular octagrams.

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