- How do I convert degrees to radians?
- To convert degrees to radians, multiply the angle in degrees by π/180 (approximately 0.01745). For example, 90 degrees equals π/2 radians (approximately 1.5708 radians). Our converter automatically performs this calculation for you with high precision.
- How do I convert radians to degrees?
- To convert radians to degrees, multiply the angle in radians by 180/π (approximately 57.2958). For example, π radians equals 180 degrees. Our converter handles this conversion automatically and displays results with high precision for mathematical and engineering applications.
- What is the relationship between degrees and radians?
- One complete circle is 360 degrees or 2π radians. Therefore, π radians equals 180 degrees, making the conversion factor π/180 ≈ 0.01745 radians per degree.
- Why do we use both degrees and radians?
- Degrees are intuitive for everyday angle measurements, while radians are preferred in mathematics and physics because they simplify many calculations and formulas, especially in calculus and trigonometry.
- What are some common angle measurements?
- Common angles: 90° = π/2 rad (right angle), 180° = π rad (straight angle), 360° = 2π rad (full circle), 45° = π/4 rad (eighth turn), 30° = π/6 rad (sixth turn).
- How accurate are the conversions?
- Our converter maintains high precision using the exact value of π for calculations. Results are displayed with up to 6 decimal places for maximum accuracy in scientific and engineering applications.