1. What is Angle B of Quadrilateral?

Angle B of Quadrilateral is the space between two intersecting lines (side a and side b) or surfaces at or close to the point where they meet in a quadrilateral shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \angle B \) — Angle B of Quadrilateral (radians)
• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( \angle D \) — Angle D of Quadrilateral (radians)

Explanation: This formula calculates Angle B based on the supplementary relationship with Angle D in a quadrilateral.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for geometric analysis, quadrilateral classification, and solving various mathematical problems involving quadrilaterals.

4. Using the Calculator

Tips: Enter Angle D value in radians. The value must be a positive number greater than 0.

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 Angle D values?
A: Angle D must be between 0 and π radians (0-180 degrees) for a valid quadrilateral angle.

Q3: Can this formula be used for all types of quadrilaterals?
A: This specific formula applies to quadrilaterals where angles B and D are supplementary, which is true for cyclic quadrilaterals.

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 using the formula: radians = degrees × π/180 before using this calculator.