Turn to Gradian Converter

1 Turn equals 400 Gradian. To convert Turn to Gradian, multiply the value by 400.

To convert Turn to Gradian, multiply the value by 400. For example, 10 tr = 4,000 grad.

The Turn (tr) is one complete rotation of 360 degrees or 2π radians; also called a revolution or full circle.

The Gradian (grad) is divides a full circle into 400 equal parts; 90° equals 100 gradians; used in surveying and some European engineering fields.

100 tr equals 40,000 grad. To convert Turn to Gradian, multiply the value by 400.

A right angle is exactly 90 degrees. It is the angle formed at the corner of a square or rectangle. In radians, 90° = π/2 ≈ 1.5708 rad. Right angles are fundamental in construction, carpentry, and engineering — a "square" corner between two walls or a floor and wall is always 90°.

A 45° angle is half a right angle and appears frequently in construction (roof pitches, mitre cuts for picture frames and door frames), sports (the optimal launch angle for maximum projectile range is 45°), and road design. In radians, 45° = π/4 ≈ 0.7854 rad.

A 10° slope rises about 17.6 cm for every 1 meter of horizontal distance (tan 10° ≈ 0.176). Roads rarely exceed 10°; mountain roads reach 12–15°. A typical staircase is about 35–40°. Wheelchair ramps are usually limited to 4.8° (1:12 ratio). Ski runs range from 18° (beginner) to 45°+ (expert).

Degrees divide a circle into 360 equal parts; radians measure angles by the arc length on a unit circle. A full circle = 360° = 2π radians ≈ 6.2832 rad. To convert: multiply degrees by π/180 to get radians, or multiply radians by 180/π to get degrees. Radians are used in mathematics and physics; degrees in everyday life and navigation.

Roof pitch is often expressed as rise:run (e.g., 4:12 means 4 inches rise per 12 inches run). Common pitches in degrees: low slope 10–20°, standard residential 25–35°, steep 40–50°. A 4:12 pitch ≈ 18.4°, a 6:12 pitch ≈ 26.6°, a 12:12 pitch = 45°. Steeper roofs shed snow and rain better but cost more to build.