radian (Meaning)

Wordnet

radian (n)

the unit of plane angle adopted under the Systeme International d'Unites; equal to the angle at the center of a circle subtended by an arc equal in length to the radius (approximately 57.295 degrees)

Webster

radian (n.)

An arc of a circle which is equal to the radius, or the angle measured by such an arc.

Synonyms & Antonyms of radian

No Synonyms and anytonyms found

radian Sentence Examples

  1. The angle of rotation is expressed in radians, a dimensionless measure.
  2. One radian is the angle subtended by an arc of a circle whose length is equal to the radius.
  3. The radian measure of a full circle is 2π radians.
  4. In trigonometry, radian measure is preferred over degrees due to its simplicity and mathematical elegance.
  5. The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius in radians.
  6. Angular velocity is expressed in radians per unit time, such as radians per second.
  7. The slope of a function can be expressed in radians, indicating the rate of change of the function's output with respect to its input.
  8. In calculus, radians are used to measure the arc length of curves and the area of sectors.
  9. The radian measure of an angle can be determined using a protractor calibrated in radians.
  10. The radian measure is a fundamental unit in physics, engineering, and other scientific fields, providing a precise and convenient way to represent angles.

FAQs About the word radian

the unit of plane angle adopted under the Systeme International d'Unites; equal to the angle at the center of a circle subtended by an arc equal in length to th

No synonyms found.

No antonyms found.

The angle of rotation is expressed in radians, a dimensionless measure.

One radian is the angle subtended by an arc of a circle whose length is equal to the radius.

The radian measure of a full circle is 2π radians.

In trigonometry, radian measure is preferred over degrees due to its simplicity and mathematical elegance.