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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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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< Illumination Parameters Calculators

Number of Lamps Required for Illumination

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

Reduction Factor

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

Solid Angle

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

Mean Spherical Candle Power

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

Solid Angle Formula

LaTeX Go

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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