1. What is Side B of Cyclic Quadrilateral?

Side B of Cyclic Quadrilateral is one of the four sides of a cyclic quadrilateral, which is a quadrilateral whose vertices all lie on a single circle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S_b \) — Side B of Cyclic Quadrilateral (m)
• \( P \) — Perimeter of Cyclic Quadrilateral (m)
• \( S_a \) — Side A of Cyclic Quadrilateral (m)
• \( S_c \) — Side C of Cyclic Quadrilateral (m)
• \( S_d \) — Side D of Cyclic Quadrilateral (m)

Explanation: This formula calculates the length of side B by subtracting the sum of the other three sides from the total perimeter of the cyclic quadrilateral.

3. Importance of Cyclic Quadrilateral Calculation

Details: Calculating side lengths in cyclic quadrilaterals is important in geometry problems, architectural design, and various engineering applications where circular patterns are involved.

4. Using the Calculator

Tips: Enter the perimeter and the lengths of sides A, C, and D in meters. All values must be positive numbers, and the sum of sides A, C, and D should not exceed the perimeter.

5. Frequently Asked Questions (FAQ)

Q1: What is a cyclic quadrilateral?
A: A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a single circle.

Q2: Can this formula be used for any quadrilateral?
A: This specific formula works for any quadrilateral where the perimeter and three sides are known, not just cyclic quadrilaterals.

Q3: What if the calculated side B is negative?
A: A negative result indicates that the sum of the other three sides exceeds the perimeter, which is geometrically impossible. Please check your input values.

Q4: Are there other properties of cyclic quadrilaterals?
A: Yes, cyclic quadrilaterals have special angle properties - opposite angles sum to 180 degrees (supplementary).

Q5: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of length as long as all measurements are in the same unit.