The formula to calculate the Solid Angle (Ω) is:
\[ Ω = \frac{A}{r^2} \]
Where:
A solid angle is a measure of how large an object appears to an observer located at a given point. It is analogous to the concept of an angle in two-dimensional space but is used to describe the field of view in three-dimensional space. The solid angle is measured in steradians (sr), which is a dimensionless unit because it represents a ratio of areas.
Let's consider an example:
Using the formula to calculate the Solid Angle:
\[ Ω = \frac{100}{10^2} = \frac{100}{100} = 1 \, \text{steradian} \]
This means that the solid angle is 1 steradian.
