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The edge length of a square given its inradius is calculated using the relationship between the square's dimensions and its incircle. The inradius is the radius of the largest circle that fits inside the square, touching all four sides.
The calculator uses the formula:
Where:
Explanation: The formula demonstrates that the edge length of a square is exactly twice the length of its inradius, as the incircle touches all four sides at their midpoints.
Details: Calculating the edge length from the inradius is important in geometry, architecture, and engineering applications where square shapes with inscribed circles are used. It helps in determining the overall dimensions when the incircle size is known.
Tips: Enter the inradius value in meters. The value must be positive and valid. The calculator will compute the corresponding edge length of the square.
Q1: What is the relationship between inradius and edge length?
A: The edge length of a square is exactly twice its inradius. This relationship holds true for all squares.
Q2: Can this formula be used for rectangles?
A: No, this specific formula only applies to squares. Rectangles have different relationships between their dimensions and incircle properties.
Q3: What are the units used in this calculation?
A: The units can be any consistent length unit (meters, centimeters, inches, etc.), but the input and output will use the same units.
Q4: Is the inradius always half the edge length?
A: Yes, for a square, the inradius is always exactly half the length of any edge.
Q5: What practical applications does this calculation have?
A: This calculation is useful in manufacturing, construction, and design where square components with specific inscribed circle sizes are required.