Quickly convert angles between degrees, radians and revolutions. Accurate and convenient converter.
Our angle converter allows you to quickly and accurately convert between different angle units. Supports degrees, radians and revolutions.
The converter uses precise mathematical formulas for converting angles. Suitable for mathematics, physics, engineering, programming and everyday use. All calculations are performed instantly with an accuracy of 15 decimal places.
Below are examples of calculations for converting different angle units:
Converting degrees to radians for mathematics
Входные данные:
180°Расчёт:
180° × π / 180 = π radian ≈ 3.14159 radianРезультат:
3.14159 radians
Тип:
mathematics
Converting radians to degrees for trigonometry
Входные данные:
π/2 radiansРасчёт:
π/2 × 180 / π = 90°Результат:
90°
Тип:
trigonometry
Converting degrees to revolutions for rotation
Входные данные:
360°Расчёт:
360° ÷ 360 = 1 revolutionРезультат:
1 turn
Тип:
mechanics
Converting revolutions to degrees for angles
Входные данные:
2.5 turnsРасчёт:
2.5 × 360 = 900°Результат:
900°
Тип:
engineering
Converting radians to revolutions for rotation
Входные данные:
2π radiansРасчёт:
2π ÷ (2π) = 1 revolutionРезультат:
1 turn
Тип:
physics
Converting revolutions to radians for mathematics
Входные данные:
0.5 turnРасчёт:
0.5 × 2π = π radian ≈ 3.14159 radianРезультат:
3.14159 radians
Тип:
mathematics
All angle units are converted using the base unit radian. Degrees are converted using the formula: radians = degrees × π / 180. Revolutions are converted using the formula: radians = revolutions × 2π.
The converter supports 3 basic units of angles: degrees (°), radians (rad) and revolutions (rpm).
Accurate calculations, instant conversion, support for 4 languages, user-friendly interface, mobile version.
Multiply the degrees by π and divide by 180. For example: 180° = 180 × π / 180 = π radians ≈ 3.14159 radians.
Multiply radians by 180 and divide by pi. For example: π radians = π × 180 / π = 180°.
Divide the degrees by 360 to get the RPM. For example: 360° = 360 ÷ 360 = 1 revolution.
Multiply the rpm by 360 to get the degrees. For example: 2.5 turns = 2.5 × 360 = 900°.
Divide the radians by 2π to get the revolutions. For example: 2π radians = 2π ÷ (2π) = 1 revolution.
Multiply the revolutions by 2π to get radians. For example: 0.5 revolution = 0.5 × 2π = π radian ≈ 3.14159 radian.
1 radian = 180 / π ≈ 57.2958°. This is the standard value for the radian measure of angle.
1° = π / 180 ≈ 0.017453 radians. This is the standard value of the degree measure of angle.
The converter supports 3 units: degrees (°), radians (rad) and revolutions (rpm).
Yes, all calculations are based on exact mathematical formulas. Conversion formulas comply with international standards.
Yes, the converter supports negative angles, which are used to indicate angles of rotation in the opposite direction.
The converter can handle angles of any size, including angles greater than 360° (more than one full rotation).
Yes, the converter is fully adapted for mobile devices and works on all platforms: iOS, Android, Windows, macOS.
Yes, the converter is completely free and available without registration. You can use it anytime.
Yes, an internet connection is required to use the online converter. All calculations are performed in the browser.
The result can be copied to the clipboard or taken a screenshot. You can also record the result manually.
Yes, the converter is widely used in mathematics to convert between degrees and radians in trigonometry and geometry.
Yes, the converter is ideal for physics to convert rotation and rotation angles between different units.
The converter is suitable for converting angles in programming. Typically radians are used, which can be converted to degrees.
Radian (rad) is the SI unit of measurement for plane angles. 1 radian is equal to the angle subtended by an arc of a circle whose length is equal to the radius of the circle. 1 rad = 180 / π ≈ 57.2958°.
A degree (°) is a unit of measurement for plane angles. 1 degree is equal to 1/360 of a full revolution. 1° = π / 180 ≈ 0.017453 radians.
A revolution (rev) is a unit of measurement of angles equal to a complete rotation (360° or 2π radians). 1 revolution = 360° = 2π radians.
The converter works instantly. Calculations are performed in real time as values are entered.
Yes, the converter can work with angles of any size, including very large angles (thousands of degrees, tens of revolutions, etc.).
Both units are equally accurate, they just have different representations. The radian is convenient for mathematics, the degree is for everyday use.
Radians are used in mathematics because many trigonometry and calculus formulas are made simpler by using radians instead of degrees.
Yes, the converter is used in engineering to calculate rotation angles, rotation of mechanisms and angular displacements in various units of measurement.
The converter supports two-way conversion: you can convert from one unit to another, and vice versa, simply by swapping the units.
Yes, the converter is ideal for converting rotation angles of mechanisms between degrees, radians and revolutions.
JavaScript typically uses radians. Multiply the degrees by Math.PI and divide by 180. For example: 90° = 90 × Math.PI / 180 = π/2 radians.