Solid Angle Calculator

Solid Angle Calculator calculator can be used to calculate the solid angle subtended by a surface at a point in space.

Radius (r)

Height (h)

Solid Angle (Ω) = 2π * (1 - cos(θ))

Where:
θ = arccos(1 - h²/r²)

Solid Angle (Ω)

Solid Angle Calculator Calculator Usage Guide

Learn how to use the Solid Angle Calculator calculator and its working principles

Enter the radius (r) of the circle in the first input field.
Enter the height (h) from the center of the circle to the apex of the cone formed by the circle's circumference and the point in space.
Click the "Calculate" button to compute the solid angle.
The result will be displayed in steradians.

The solid angle (Ω) is calculated using the formula:

Ω = 2π * (1 - cos(θ))

Where θ is the angle between the radius and the height, given by θ = arccos(1 - h²/r²).

This formula assumes that the height and radius are measured in the same units and that the height is less than or equal to the radius.