Solid Angle Calculator

✖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.ⓘ Area of Illumination [A]			+10% -10%
✖Radius of Illumination is defined as the radius of the spherical distance over which a luminous source is extending its flux.ⓘ Radius of Illumination [r]			+10% -10%

✖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.ⓘ Solid Angle [ω]

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Formula

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Solid Angle

Formula

`"ω" = "A"/("r"^2)`

Example

`"27.10027sr"="41m²"/(("1.23m")^2)`

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Solid Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Solid Angle = Area of Illumination/(Radius of Illumination^2)
ω = A/(r^2)
This formula uses 3 Variables

Variables Used

Solid Angle - (Measured in Steradian) - 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.
Area of Illumination - (Measured in Square Meter) - 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.
Radius of Illumination - (Measured in Meter) - Radius of Illumination is defined as the radius of the spherical distance over which a luminous source is extending its flux.

STEP 1: Convert Input(s) to Base Unit

Area of Illumination: 41 Square Meter --> 41 Square Meter No Conversion Required
Radius of Illumination: 1.23 Meter --> 1.23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = A/(r^2) --> 41/(1.23^2)

Evaluating ... ...

ω = 27.10027100271

STEP 3: Convert Result to Output's Unit

27.10027100271 Steradian --> No Conversion Required

FINAL ANSWER

27.10027100271 ≈ 27.10027 Steradian <-- Solid Angle

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 15 Illumination Parameters Calculators

Number of Lamps Required for Illumination

Go Number of Lamp = (Illumination Intensity*Area of Illumination)/(Luminous Flux*Utilization Factor*Maintenance Factor)

Index of Refraction

Go Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle)

Luminance

Go Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle))

Luminous Flux

Go Luminous Flux = (Area of Illumination*Luminous Intensity)/(Length of Illumination^2)

Reduction Factor

Go Reduction Factor = Mean Spherical Candle Power/Mean Horizontal Candle Power

Mean Horizontal Candle Power

Go Mean Horizontal Candle Power = Sum of Candle Power/Number of Lamp

Solid Angle

Go Solid Angle = Area of Illumination/(Radius of Illumination^2)

Maintenance Factor

Go Maintenance Factor = Final Illumination/Initial Illumination

Illumination

Go Illumination Intensity = Luminous Flux/Area of Illumination

Mean Hemi-Spherical Candle Power

Go Mean Hemi Spherical Candle Power = Luminous Flux/(2*pi)

Mean Spherical Candle Power

Go Mean Spherical Candle Power = Luminous Flux/(4*pi)

Lamp Efficiency

Go Lamp Efficiency = Luminous Flux/Input Power

Candle Power

Go Candle Power = Luminous Flux/Solid Angle

Lumens

Go Lumen = Candle Power*Solid Angle

Depreciation Factor

Go Depreciation Factor = 1/Maintenance Factor

Solid Angle Formula

Solid Angle = Area of Illumination/(Radius of Illumination^2)
ω = A/(r^2)

What is Illumination?

Illumination is defined as the number of lumens, falling on the surface, per unit area. It is denoted by symbol E and is measured in lumens per square meter or lux or meter-candela.

How to Calculate Solid Angle?

Solid Angle calculator uses Solid Angle = Area of Illumination/(Radius of Illumination^2) to calculate 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 calculate Solid Angle using this online calculator? To use this online calculator for Solid Angle, enter Area of Illumination (A) & Radius of Illumination (r) and hit the calculate button. Here is how the Solid Angle calculation can be explained with given input values -> 27.10027 = 41/(1.23^2).

FAQ

What is 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 and is represented as ω = A/(r^2) or Solid Angle = Area of Illumination/(Radius of Illumination^2). 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 & Radius of Illumination is defined as the radius of the spherical distance over which a luminous source is extending its flux.

How to calculate 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 is calculated using Solid Angle = Area of Illumination/(Radius of Illumination^2). To calculate Solid Angle, you need Area of Illumination (A) & Radius of Illumination (r). With our tool, you need to enter the respective value for Area of Illumination & Radius of Illumination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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