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unit of measure: the base unit | the supplementary unit | the derived unit

geometry: the area of a flat figure | the area of a solid | the volume of the solid


unit

Solid angle

 

system of units:   SI;
statute:   supplementary unit;
name the value:   sr;
unit name:   steradian;
symbol unit:   sr;
dimension:   L2 L-2;
expression in other units:   m²/m²;

Definition

The solid angle is the solid angle of the tip in the centre of a sphere, a sphere bounding surface area equal to the area of a square whose side is equal to the radius of the sphere.

1 steradian is a solid angle that cuts, shapes on the surface of the sphere an area equal to the square of the radius of the sphere.

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Units of measurement

namesymbol value in SI unit:
sr
note
1 square second ≈ 2.350 443 × 10-11 (1)
1 square minute ≈ 8.461 595 × 10-8 (2)
1 square grade, degree ° ≈ 3.046 174 × 10-4 (3)
1 complete sphere ≈ 12.566 370 6 (4)

Note:

(1) - (π/(648 000))2;

(2) - (π/(10 800))2;

(3) - (π/180)2;

(4) - 4π;