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Solid Angle Formula

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Solid angle is a measure of the extent of a cone-shaped region in three-dimensional space, originating from a point and defined by its vertex angle. It quantifies the spatial coverage. Check FAQs

ω = \frac{A}{r^{2}}

ω - Solid Angle?A - Area of Illumination?r - Radius of Illumination?

Solid Angle Example

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Here is how the Solid Angle equation looks like with Values.

Here is how the Solid Angle equation looks like with Units.

Here is how the Solid Angle equation looks like.

27.1003 = \frac{41}{{1.23}^{2}}

27.1003sr = \frac{41m²}{{1.23m}^{2}}

27.1003 = \frac{41}{{1.23}^{2}}

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Solid Angle Solution

Follow our step by step solution on how to calculate Solid Angle?

FIRST Step Consider the formula

ω = \frac{A}{r^{2}}

Next Step Substitute values of Variables

∴

ω = \frac{41m²}{{1.23m}^{2}}

Next Step Prepare to Evaluate

∴

ω = \frac{41}{{1.23}^{2}}

Next Step Evaluate

∴

ω = 27.10027100271sr

LAST Step Rounding Answer

∴

ω = 27.1003sr

Solid Angle Formula Elements

Variables

Solid Angle

Solid angle is a measure of the extent of a cone-shaped region in three-dimensional space, originating from a point and defined by its vertex angle. It quantifies the spatial coverage.

Symbol: ω

Measurement: Solid AngleUnit: sr

Note: Value can be positive or negative.

Formulas to find Solid Angle

Area of Illumination

Area of illumination refers to the size or extent of the space covered by light from a source, determining the reach and coverage of light in that area.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Illumination

Radius of Illumination

Radius of Illumination is defined as the radius of the spherical distance over which a luminous source is extending its flux.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Illumination

Other formulas in Illumination Parameters category

Go Reduction Factor

RF = \frac{M.S.C.P.}{M.H.C.P.}

Go Number of Lamps Required for Illumination

N Lamp = \frac{E v \cdot A}{F \cdot UF \cdot MF}

Go Mean Spherical Candle Power

M.S.C.P. = \frac{F}{4 \cdot π}

Go Mean Horizontal Candle Power

M.H.C.P. = \frac{S}{N Lamp}

How to Evaluate Solid Angle?

Solid Angle evaluator uses Solid Angle = Area of Illumination/(Radius of Illumination^2) to evaluate the Solid Angle, The Solid Angle formula is defined as the angle generated by the surface passing through the point in space and is given by the ratio of the area of surface to the square of distance between the area and the point. Solid Angle is denoted by ω symbol.

How to evaluate Solid Angle using this online evaluator? To use this online evaluator for Solid Angle, enter Area of Illumination (A) & Radius of Illumination (r) and hit the calculate button.

FAQs on Solid Angle

What is the formula to find Solid Angle?

The formula of Solid Angle is expressed as Solid Angle = Area of Illumination/(Radius of Illumination^2). Here is an example- 27.10027 = 41/(1.23^2).

How to calculate Solid Angle?

With Area of Illumination (A) & Radius of Illumination (r) we can find Solid Angle using the formula - Solid Angle = Area of Illumination/(Radius of Illumination^2).

Can the Solid Angle be negative?

Yes, the Solid Angle, measured in Solid Angle can be negative.

Which unit is used to measure Solid Angle?

Solid Angle is usually measured using the Steradian[sr] for Solid Angle. Square Degree[sr], Spat[sr] are the few other units in which Solid Angle can be measured.

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