Convert Full sphere to Spat
Unit definitions
Full sphere
The full sphere represents the solid angle formed at the center of a sphere when the entire surface area of the sphere is considered. It is equal to $4\pi\ \text{sr}$.
Spat
One full sphere equals one spat. Therefore, a spat equals $4\pi\ \text{sr}$.
How to convert Full sphere to Spat
$$\text{Solid Angle}_{\text{sp}} = \text{Solid Angle}_{\text{4π sr}} \cdot 1$$
Examples
Example 1
Convert $50.0\ \text{4π sr}$ to $\text{sp}$.
$$\text{Solid Angle}_{\text{sp}} = 50.0 \cdot 1$$
$$\text{Solid Angle}_{\text{sp}} = 50$$
$$\therefore \ 50.0\ \text{4π sr} = 50 \ \text{sp}$$
Example 2
Convert $85.0\ \text{4π sr}$ to $\text{sp}$.
$$\text{Solid Angle}_{\text{sp}} = 85.0 \cdot 1$$
$$\text{Solid Angle}_{\text{sp}} = 85$$
$$\therefore \ 85.0\ \text{4π sr} = 85 \ \text{sp}$$
Example 3
Convert $110.0\ \text{4π sr}$ to $\text{sp}$.
$$\text{Solid Angle}_{\text{sp}} = 110.0 \cdot 1$$
$$\text{Solid Angle}_{\text{sp}} = 110$$
$$\therefore \ 110.0\ \text{4π sr} = 110 \ \text{sp}$$
Example 4
Convert $130.0\ \text{4π sr}$ to $\text{sp}$.
$$\text{Solid Angle}_{\text{sp}} = 130.0 \cdot 1$$
$$\text{Solid Angle}_{\text{sp}} = 130$$
$$\therefore \ 130.0\ \text{4π sr} = 130 \ \text{sp}$$
Example 5
Convert $190.0\ \text{4π sr}$ to $\text{sp}$.
$$\text{Solid Angle}_{\text{sp}} = 190.0 \cdot 1$$
$$\text{Solid Angle}_{\text{sp}} = 190$$
$$\therefore \ 190.0\ \text{4π sr} = 190 \ \text{sp}$$
Full sphere to Spat conversion table
Convert Full sphere to other Solid Angle units
| Full sphere [4π sr] | Other unit |
|---|---|
| 1 | 12.566371 Steradian [sr] |