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The Radius of Half Yin-Yang is defined as the radius of the semicircle from which the Half Yin-Yang shape is made. It is a fundamental geometric property that helps define the size and proportions of this symbolic shape.
The calculator uses the formula:
Where:
Explanation: This formula calculates the radius of a semicircle when its perimeter is known, based on the mathematical relationship between a circle's circumference and its radius.
Details: Calculating the radius from the perimeter is essential in geometric design, artistic applications, and mathematical analysis involving the Half Yin-Yang symbol. It helps maintain proper proportions and symmetry in designs incorporating this shape.
Tips: Enter the perimeter of the Half Yin-Yang in meters. The value must be positive and valid. The calculator will compute the corresponding radius using the mathematical formula.
Q1: What is the Half Yin-Yang shape?
A: The Half Yin-Yang is a semicircular shape derived from the traditional Yin-Yang symbol, representing one half of the complete symbol with its characteristic curved division.
Q2: Why is π used in the formula?
A: π (pi) is the mathematical constant that represents the ratio of a circle's circumference to its diameter, which is fundamental to all circular geometry calculations.
Q3: Can this calculator be used for complete circles?
A: No, this specific calculator is designed for the Half Yin-Yang shape (semicircle). For complete circles, the formula would be r = P/(2π) where P is the full circumference.
Q4: What units should I use?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit system (centimeters, inches, etc.) as long as both perimeter and radius use the same units.
Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The result is rounded to 6 decimal places for practical use while maintaining sufficient precision for most applications.