1. What is the Semiperimeter of Cyclic Quadrilateral?

The semiperimeter of a cyclic quadrilateral is half of the sum of all its four sides. It is a fundamental geometric property used in various calculations involving cyclic quadrilaterals.

2. How Does the Calculator Work?

The calculator uses the semiperimeter formula:

Where:

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

Explanation: The semiperimeter is calculated by summing all four sides of the cyclic quadrilateral and dividing by 2.

3. Importance of Semiperimeter Calculation

Details: The semiperimeter is crucial for calculating the area of a cyclic quadrilateral using Brahmagupta's formula and for various other geometric properties and theorems.

4. Using the Calculator

Tips: Enter all four side lengths in meters. All values must be positive numbers greater than zero.

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: Why is the semiperimeter important?
A: The semiperimeter is used in Brahmagupta's formula to calculate the area of a cyclic quadrilateral and in various other geometric calculations.

Q3: Can this calculator be used for any quadrilateral?
A: While the semiperimeter formula works for any quadrilateral, the specific geometric properties discussed apply specifically to cyclic quadrilaterals.

Q4: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of length as long as all sides are measured in the same unit.

Q5: How accurate are the results?
A: The results are accurate to four decimal places, providing precise calculations for geometric applications.