1. What is the Inradius of Tangential Quadrilateral?

The inradius of a tangential quadrilateral is the radius of the incircle (a circle inscribed within the quadrilateral that is tangent to all four sides). It represents the distance from the center of the incircle to any of the sides of the quadrilateral.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_i \) — Inradius of Tangential Quadrilateral (m)
• \( A \) — Area of Tangential Quadrilateral (m²)
• \( S_a \) — Side A of Tangential Quadrilateral (m)
• \( S_c \) — Side C of Tangential Quadrilateral (m)

Explanation: The formula calculates the inradius by dividing the area of the quadrilateral by the sum of two opposite sides.

3. Importance of Inradius Calculation

Details: Calculating the inradius is important in geometry for determining properties of tangential quadrilaterals, designing circular patterns within quadrilaterals, and various engineering applications where inscribed circles are relevant.

4. Using the Calculator

Tips: Enter the area in square meters, and the lengths of sides A and C in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a tangential quadrilateral?
A: A tangential quadrilateral is a quadrilateral that has an incircle (a circle tangent to all four sides).

Q2: Does this formula work for all quadrilaterals?
A: No, this formula specifically applies to tangential quadrilaterals that have an incircle.

Q3: What are the units of measurement?
A: The calculator uses meters for length measurements and square meters for area. Ensure consistent units for accurate results.

Q4: Can I use this for irregular quadrilaterals?
A: Only if the irregular quadrilateral is tangential (has an incircle).

Q5: What if the sum of sides A and C is zero?
A: The formula requires that the sum of sides A and C must be greater than zero, as division by zero is undefined.