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Diameter of Incircle of Square given Perimeter Calculator

Formula Used:

\[ Di = \frac{P}{4} \]

Meter

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1. What is the Diameter of Incircle of Square?

The Diameter of Incircle of Square is the diameter of the incircle of the Square or the circle which is contained by the Square with all the edges of the Square touching the circle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Di = \frac{P}{4} \]

Where:

Explanation: The formula calculates the diameter of the incircle by dividing the perimeter of the square by 4.

3. Importance of Diameter Calculation

Details: Calculating the diameter of the incircle is important in geometry and various engineering applications where circular shapes inscribed in squares are involved.

4. Using the Calculator

Tips: Enter the perimeter of the square in meters. The value must be valid (perimeter > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between perimeter and incircle diameter?
A: The diameter of the incircle is exactly one-fourth of the perimeter of the square.

Q2: Can this formula be used for rectangles?
A: No, this specific formula applies only to squares where all sides are equal.

Q3: What are the units for measurement?
A: Both perimeter and diameter are measured in meters, but consistent units must be used throughout.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect squares.

Q5: What practical applications does this have?
A: This calculation is useful in construction, manufacturing, and design where circular components need to fit perfectly within square boundaries.

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