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The Diameter of Incircle of Square is the diameter of the largest circle that fits inside a square, touching all four sides. It is equal to the side length of the square.
The calculator uses the formula:
Where:
Explanation: The formula derives from the geometric relationship between the incircle and circumcircle of a square, where the circumcircle diameter is √2 times larger than the incircle diameter.
Details: Calculating the diameter of the incircle is important in various geometric applications, construction projects, and engineering designs where circular components need to fit perfectly within square boundaries.
Tips: Enter the diameter of the circumcircle of the square in meters. The value must be positive and greater than zero.
Q1: What is the relationship between the incircle and circumcircle of a square?
A: The circumcircle passes through all four vertices of the square, while the incircle touches all four sides. The circumcircle diameter is √2 times larger than the incircle diameter.
Q2: Can this formula be used for rectangles?
A: No, this specific formula applies only to squares. Rectangles have different geometric relationships between their incircle and circumcircle.
Q3: What are practical applications of this calculation?
A: This calculation is used in mechanical engineering, architecture, woodworking, and any field where circular objects need to be fitted within square containers or frames.
Q4: How accurate is this formula?
A: The formula is mathematically exact and provides perfect accuracy for ideal geometric squares.
Q5: What if I have the side length instead of circumcircle diameter?
A: If you have the side length (s), the incircle diameter is simply equal to the side length (Di = s), and the circumcircle diameter is s√2.