1. What is the Angle C of Quadrilateral Formula?

The formula calculates Angle C of a quadrilateral based on Angle A, using the mathematical constant π (pi). This relationship is derived from geometric properties of quadrilaterals where opposite angles sum to π radians.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \pi \) — Archimedes' constant (approximately 3.141592653589793)
• \( \angle A \) — Angle A of Quadrilateral in radians

Explanation: This formula calculates the measure of Angle C by subtracting the measure of Angle A from π radians (180 degrees).

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for geometric analysis, construction planning, and solving quadrilateral-related problems in mathematics and engineering.

4. Using the Calculator

Tips: Enter Angle A in radians. The value must be a positive number greater than 0 and less than π for valid quadrilateral angles.

5. Frequently Asked Questions (FAQ)

Q1: Why use radians instead of degrees?
A: Radians are the standard unit of angular measurement in mathematical calculations and provide more precise results in trigonometric functions.

Q2: What is the range of valid angles for a quadrilateral?
A: Each interior angle of a convex quadrilateral must be between 0 and π radians (0° and 180°).

Q3: Can this formula be used for all types of quadrilaterals?
A: This specific formula applies to quadrilaterals where Angle C is supplementary to Angle A, which is true for certain quadrilateral types.

Q4: How accurate is the calculation?
A: The calculation uses PHP's built-in M_PI constant which provides high precision (approximately 3.1415926535898).

Q5: What if I have angles in degrees?
A: Convert degrees to radians first (radians = degrees × π/180) before using this calculator.