1. What is the Perimeter of Cyclic Quadrilateral?

The perimeter of a cyclic quadrilateral is the total distance around the edge of the quadrilateral. For any cyclic quadrilateral, the perimeter can be calculated as twice the semiperimeter.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Perimeter of Cyclic Quadrilateral (m)
• \( s \) — Semiperimeter of Cyclic Quadrilateral (m)

Explanation: The semiperimeter is half of the perimeter, so the perimeter is simply twice the semiperimeter value.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of a cyclic quadrilateral is important in geometry for determining the total boundary length, which is useful in various practical applications such as construction, land measurement, and material estimation.

4. Using the Calculator

Tips: Enter the semiperimeter value in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

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

Q2: How is semiperimeter different from perimeter?
A: Semiperimeter is half of the perimeter. If a quadrilateral has sides a, b, c, d, then semiperimeter s = (a+b+c+d)/2.

Q3: Can this formula be used for all quadrilaterals?
A: This specific formula P = 2*s applies to all quadrilaterals, not just cyclic ones, as it's simply the definition of perimeter in terms of semiperimeter.

Q4: What are the units for perimeter measurement?
A: Perimeter is measured in linear units such as meters, centimeters, inches, etc., depending on the context.

Q5: Why is perimeter calculation important?
A: Perimeter calculation is essential for determining boundary lengths, fencing requirements, material estimates for edges, and various engineering applications.