Solid Angle Calculator

Enter the surface area and the radius of a sphere into the calculator to determine the solid angle of the sphere.

Solid Angle Formula

The following equation can be used to calculate the solid angle of a sphere.

Ω =A / r^2

  • Where Ω is the solid angle (steradians)
  • A is the surface area of the projected area.
  • r is the radius

Solid Angle Definition

A solid angle is defined as the amount of field of view seen from a particular point that an object covers.

Is solid angle dimensionless?

A solid angle has dimensions or steradians, so in a sense it is dimensionless. Steradians are only a proportion of a circle, not a unit itself. If you look at the equation above you can see that the units would be units^2/units^2 which yields unitless.

Can solid angles be negative?

In general geometry solid angles cannot be negative. If they were, then either the radius or surface area would have to be negative. In complex physics or mathematics however, this may be possible.

How many solid angles are in a sphere?

Solid angles are measured in steradians, which by definition means there are 4*pi solid angles in a sphere. In other words, there are approximately 12.5663 solid angles total in a sphere.

Solid Angle Example

How to calculate a solid angle?

  1. First, determine the surface area.

    Calculate the surface area.

  2. Next, determine the radius.

    Measure the radius of the sphere.

  3. Finally, calculate the solid angle.

    Calculate the solid angle using the equation above.


What is a solid angle?

A solid angle is a ratio of the surface area of a field of view to it’s radius.

solid angle calculator
solid angle formula

Related Terms

solid angle calculator
solid angle formula
solid angle
how to calculate a solid angle
solid angle definition
solid angle unit
radian and steradian
steradian definition
define solid angle
steradian formula
define steradian
solid angle of sphere
solid angle in physics
solid angle derivation
solid angle formula derivation
solid angle of a sphere
how to calculate solid angle
one steradian is equal to
solid angle in radiation
solid angle of a cone
solid angle of cone
formula for solid angle
unit solid angle
steradian angle
define radian and steradian
total solid angle of a sphere
projected solid angle
how to find solid angle
solid angle example
radian steradian
define solid angle in physics
solid angle equation
a solid metallic right circular cone
solid angle in hindi
rhombic dodecahedron angles
radian and steradian in physics
total solid angle
solid angle steradian
concept of solid angle
definition of solid angle in physics
degree to steradian
steradian in physics
solid angle of the sun
steradian and radian
solid angle area
dodecahedron angle between faces
derivation of solid angle
rectangular prism angles
definition of steradian in physics
definition of radian and steradian
platonic solids angles
solid angle explanation
solid angle class 11
plane angle and solid angle formula