steradian: meaning, definition, pronunciation and examples

C2
UK/ˌstɛˈreɪdɪən/US/stəˈreɪdiən/

Technical/Scientific

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Quick answer

What does “steradian” mean?

The SI unit of solid angle, defined as the solid angle at the centre of a sphere that subtends an area on its surface equal to the square of its radius.

Audio

Pronunciation

Definition

Meaning and Definition

The SI unit of solid angle, defined as the solid angle at the centre of a sphere that subtends an area on its surface equal to the square of its radius.

A three-dimensional angular measure in space, analogous to the radian for two-dimensional angles. It is used to quantify the spread of radiation, light flux, or other phenomena in three dimensions.

Dialectal Variation

British vs American Usage

Differences

No difference in meaning, spelling, or pronunciation. It is an international scientific term.

Connotations

None. Purely technical.

Frequency

Extremely low frequency in general discourse, used exclusively in technical fields in both regions with identical frequency.

Grammar

How to Use “steradian” in a Sentence

[Number] steradian(s)a solid angle of [X] steradians[Physical quantity] per steradian

Vocabulary

Collocations

strong
solid angleper steradiansquare metre per steradianlumen per steradian
medium
unit ofmeasured in steradianstotal of 4π steradians
weak
full spherespatial angleangular measure

Examples

Examples of “steradian” in a Sentence

verb

British English

  • This concept cannot be verbed.

American English

  • This concept cannot be verbed.

adverb

British English

  • The light was measured steradianly. (Highly contrived, almost never used.)

American English

  • The intensity was calculated steradianly. (Highly contrived, almost never used.)

adjective

British English

  • The steradian measure is crucial for the calculation.
  • The steradian value was recorded.

American English

  • The steradian measurement is key for the model.
  • The steradian coverage was insufficient.

Usage

Meaning in Context

Business

Virtually never used.

Academic

Used in advanced physics, engineering, astronomy, and photometry courses and publications.

Everyday

Never used.

Technical

Core term in radiometry, photometry, and antenna theory. Used to specify directional intensity of radiation or light.

Vocabulary

Synonyms of “steradian”

Neutral

sr (symbol)

Weak

solid angular unit

Watch out

Common Mistakes When Using “steradian”

  • Mispronouncing it as /ˈstɪərɪdɪən/ (like 'sterile').
  • Using it to describe a flat, two-dimensional angle.
  • Omitting the 's' in plural form when preceded by a number greater than one (e.g., '2 steradian' instead of '2 steradians').

FAQ

Frequently Asked Questions

There are exactly 4π (approximately 12.566) steradians in a sphere.

The symbol is 'sr'.

A radian measures a plane angle (2D), subtending an arc of a circle. A steradian measures a solid angle (3D), subtending an area on the surface of a sphere.

It is essential in photometry (measuring light), radiometry (measuring electromagnetic radiation), computer graphics (for lighting models), and antenna design (measuring signal directionality).

The SI unit of solid angle, defined as the solid angle at the centre of a sphere that subtends an area on its surface equal to the square of its radius.

Steradian is usually technical/scientific in register.

Steradian: in British English it is pronounced /ˌstɛˈreɪdɪən/, and in American English it is pronounced /stəˈreɪdiən/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think of a STEreo speaker spreading sound in all directions. A STERadian measures how that sound spreads in 3D space, like an angle for a cone of sound.

Conceptual Metaphor

THE SOLID ANGLE IS A CONICAL VOLUME OF SPACE (extending the metaphor of a 2D angle 'sweeping out' an arc to a 3D angle 'sweeping out' an area on a sphere).

Practice

Quiz

Fill in the gap
The radiant intensity of a source is defined as the power emitted per unit angle.
Multiple Choice

What is the steradian a unit of?