Vinkelenheter

Vinkelenheter are units used to measure angles. The most common vinkelenhet is the degree, denoted by the symbol °. A full circle is divided into 360 degrees. Other common vinkelenheter include radians, often used in mathematics and physics, and gradians, sometimes used in surveying.

A radian is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle. A full circle is equal to 2π radians. One radian is approximately 57.3 degrees. Gradians divide a full circle into 400 gradians, meaning 100 gradians is equivalent to 90 degrees.

The choice of vinkelenhet depends on the context. Degrees are widely used in everyday life, navigation, and basic geometry. Radians are preferred in calculus, trigonometry, and physics when dealing with rotational motion or wave phenomena because they simplify many formulas. Gradians are less common but can be found in specific fields. Conversion formulas exist to convert between these different vinkelenheter, allowing for flexibility in calculations and communication across disciplines. For example, to convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.