Radians is an English word. Below you'll find 10+ example sentences showing how it's used in practice.
Radians meaning
plural of radian
Using Radians
- The main meaning on this page is: plural of radian
- In the example corpus, radians often appears in combinations such as: in radians, of radians, radians per.
Context around Radians
- Average sentence length in these examples: 19.7 words
- Position in the sentence: 2 start, 12 middle, 6 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Radians
- In this selection, "radians" usually appears in the middle of the sentence. The average example has 19.7 words, and this corpus slice is mostly made up of statements.
- Around the word, speed, use, map, per, shown and shifts stand out and add context to how "radians" is used.
- Recognizable usage signals include measured in radians and angle in radians. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "radians" sits close to words such as abbasid, abdicate and adapters, which helps place it inside the broader word index.
Example types with radians
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
For longitude given in radians, remove the factors. (8 words)
A phase shift of 2π radians shifts it exactly one wavelength. (11 words)
For example, : : Advantages of measuring in radians Some common angles, measured in radians. (13 words)
If torque and rotational speed are expressed in coherent SI units, the power is calculated by ; : where is power in watts when is torque in newton-metres, and is angular speed in radians per second. (35 words)
Although polar and spherical coordinates use radians to describe coordinates in two and three dimensions, the unit is derived from the radius coordinate, so the angle measure is still dimensionless. (30 words)
For example, if rotational speed (revolutions per time) is used in place of angular speed (radians per time), we multiply by a factor of 2π radians per revolution. (28 words)
Example sentences (20)
For example, : : Advantages of measuring in radians Some common angles, measured in radians.
For example, if rotational speed (revolutions per time) is used in place of angular speed (radians per time), we multiply by a factor of 2π radians per revolution.
A complete revolution is 2 radians (shown here with a circle of radius one and thus circumference 2 ).
All the large polygons in this diagram are regular polygons In calculus and most other branches of mathematics beyond practical geometry, angles are universally measured in radians.
Although polar and spherical coordinates use radians to describe coordinates in two and three dimensions, the unit is derived from the radius coordinate, so the angle measure is still dimensionless.
Angles in polar notation are generally expressed in either degrees or radians ( 2 rad being equal to 360°).
Angular frequency is shown on a logarithmic scale in units of radians per second.
A phase shift of 2π radians shifts it exactly one wavelength.
Consider a right triangle where the two other angles are equal, and therefore are both radians (45°).
For example, angular velocity is typically measured in radians per second (rad/s).
For longitude given in radians, remove the factors.
For very small values (less than 5%), the grade of a slope is approximately the measure of the angle in radians.
Grouping the first two factors together, this equation simplifies as : where : is the small-signal gain coefficient (in units of radians per meter).
However, angular speed must be in radians, by the assumed direct relationship between linear speed and angular speed at the beginning of the derivation.
If an argument to sine or cosine in radians is scaled by frequency, : then the derivatives will scale by amplitude.
If is rotated by radians with respect to and the x amplitude equals the y amplitude the wave is circularly polarized.
If the inclination is zero or 180 degrees (π radians), the azimuth is arbitrary.
If the phase difference is 180 degrees (π radians), then the two oscillators are said to be in antiphase.
If torque and rotational speed are expressed in coherent SI units, the power is calculated by ; : where is power in watts when is torque in newton-metres, and is angular speed in radians per second.
In particular, only sines and cosines that map radians to ratios satisfy the differential equations that classically describe them.
Common combinations with radians
These word pairs occur most frequently in English texts:
- in radians 22×
- of radians 10×
- radians per 9×
- or radians 3×
- by radians 3×
- degrees radians 3×
- radians are 3×
- is radians 2×
- radians to 2×
- radians is 2×