Degrees to Radians Conversion Calculator

To convert degrees to radians, multiply the degree value by π/180 (approximately 0.01745). For example: 1) 180° = π radians, 2) 90° = π/2 radians, 3) 360° = 2π radians, 4) 45° = π/4 radians. Our calculator handles this automatically.

1 degree equals π/180 radians (approximately 0.01745 radians). Common conversions include: 1) 30° = π/6 rad, 2) 45° = π/4 rad, 3) 60° = π/3 rad, 4) 90° = π/2 rad, 5) 180° = π rad, 6) 360° = 2π rad.

Common degree to radian conversions include: 1) 30° = π/6 ≈ 0.524 rad, 2) 45° = π/4 ≈ 0.785 rad, 3) 60° = π/3 ≈ 1.047 rad, 4) 90° = π/2 ≈ 1.571 rad, 5) 180° = π ≈ 3.142 rad, 6) 360° = 2π ≈ 6.283 rad.

Different angle units serve different purposes: 1) Degrees are intuitive for everyday use, 2) Radians are preferred in mathematics and physics, 3) Radians simplify many mathematical formulas, 4) Degrees are easier for non-technical measurements, 5) Some calculations require radians for accuracy.

For quick estimates of degrees to radians: 1) Remember that 180° = π radians, 2) 90° = π/2 radians, 3) 60° = π/3 radians, 4) 45° = π/4 radians, 5) For other angles, multiply degrees by π/180 (≈0.01745).

Degrees and radians are used in various contexts: 1) Navigation and mapping (degrees), 2) Mathematics and physics (radians), 3) Engineering calculations (both), 4) Computer graphics (both), 5) Astronomy (both), 6) Trigonometry (both), 7) Surveying (degrees).