1. What is Angle Conversion?

Angle conversion is the process of changing the measurement of an angle from one unit to another, typically between degrees and radians. This is essential in mathematics, physics, and engineering where different applications require different angle units.

2. How Does the Calculator Work?

The calculator uses the angle conversion formula:

Where:

• \( \text{degrees} \) — Angle measurement in degrees
• \( \pi \) — Mathematical constant Pi (~3.14159)
• \( \text{radians} \) — Resulting angle measurement in radians

Explanation: Since 180° equals π radians, this formula provides a simple way to convert between the two units.

3. Importance of Angle Conversion

Details: Radians are the standard unit of angular measure in mathematics. Many trigonometric functions in programming languages use radians, making conversion necessary when working with degree measurements.

4. Using the Calculator

Tips: Simply enter the angle in degrees and click "Convert" to get the equivalent value in radians. The calculator accepts decimal values for precise conversions.

5. Frequently Asked Questions (FAQ)

Q1: Why convert degrees to radians?
A: Radians are more natural for mathematical calculations, especially in calculus and trigonometry. Many mathematical functions expect angles in radians.

Q2: What is the exact value of π/180?
A: Approximately 0.01745329 radians per degree.

Q3: How do I convert radians back to degrees?
A: Use the inverse formula: degrees = radians × (180/π).

Q4: Are there other angle units besides degrees and radians?
A: Yes, including gradians (400 in a full circle) and turns (1 turn = 360°).

Q5: When would I need to use this conversion?
A: Common applications include programming graphics rotations, solving physics problems, and working with trigonometric functions.