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The Distance of Tips of Concave Regular Pentagon is the length of the line joining the two upper tips of the Concave Regular Pentagon. It represents a key geometric measurement in this specific pentagon configuration.
The calculator uses the formula:
Where:
Explanation: The formula calculates the distance between the two upper tips based on the golden ratio relationship with the edge length of the concave regular pentagon.
Details: Calculating the distance between tips is important for geometric analysis, architectural design, and mathematical modeling involving concave regular pentagons. It helps in understanding the spatial relationships and proportions within this geometric shape.
Tips: Enter the edge length of the concave regular pentagon in meters. The value must be positive and valid.
Q1: What is a concave regular pentagon?
A: A concave regular pentagon is a five-sided polygon where all sides are equal in length, but at least one interior angle is greater than 180 degrees, creating an indented shape.
Q2: Why does the formula include the golden ratio?
A: The golden ratio (1 + √5)/2 appears naturally in pentagonal geometry due to the mathematical properties and proportions of regular pentagons.
Q3: Can this calculator be used for convex regular pentagons?
A: No, this specific formula applies only to concave regular pentagons. Convex regular pentagons have different geometric properties.
Q4: What are practical applications of this calculation?
A: This calculation is used in geometric design, architectural planning, mathematical research, and educational contexts involving pentagonal shapes.
Q5: How accurate is the calculation?
A: The calculation is mathematically exact when using precise input values. The result is rounded to 6 decimal places for practical use.