Convert angles between degrees and radians. Perfect for mathematics, physics, and engineering calculations. All conversions are performed instantly in your browser.
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.
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.
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.
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.
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).
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.