Unit definitions

Spat

One full sphere equals one spat. Therefore, a spat equals $4\pi\ \text{sr}$.

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 $4\pi\ \text{sr}$.

How to convert Spat to Full sphere

$$\text{Solid Angle}_{\text{4π sr}} = \text{Solid Angle}_{\text{sp}} \cdot 1$$

Examples

Example 1

Convert $50.0\ \text{sp}$ to $\text{4π sr}$.

$$\text{Solid Angle}_{\text{4π sr}} = 50.0 \cdot 1$$

$$\text{Solid Angle}_{\text{4π sr}} = 50$$

$$\therefore \ 50.0\ \text{sp} = 50 \ \text{4π sr}$$

Example 2

Convert $65.0\ \text{sp}$ to $\text{4π sr}$.

$$\text{Solid Angle}_{\text{4π sr}} = 65.0 \cdot 1$$

$$\text{Solid Angle}_{\text{4π sr}} = 65$$

$$\therefore \ 65.0\ \text{sp} = 65 \ \text{4π sr}$$

Example 3

Convert $100.0\ \text{sp}$ to $\text{4π sr}$.

$$\text{Solid Angle}_{\text{4π sr}} = 100.0 \cdot 1$$

$$\text{Solid Angle}_{\text{4π sr}} = 100$$

$$\therefore \ 100.0\ \text{sp} = 100 \ \text{4π sr}$$

Example 4

Convert $130.0\ \text{sp}$ to $\text{4π sr}$.

$$\text{Solid Angle}_{\text{4π sr}} = 130.0 \cdot 1$$

$$\text{Solid Angle}_{\text{4π sr}} = 130$$

$$\therefore \ 130.0\ \text{sp} = 130 \ \text{4π sr}$$

Example 5

Convert $180.0\ \text{sp}$ to $\text{4π sr}$.

$$\text{Solid Angle}_{\text{4π sr}} = 180.0 \cdot 1$$

$$\text{Solid Angle}_{\text{4π sr}} = 180$$

$$\therefore \ 180.0\ \text{sp} = 180 \ \text{4π sr}$$

Spat to Full sphere conversion table

Spat to Full sphere conversion table

Spat [sp]	Full sphere [4π sr]
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
10	1E+1

Convert Spat to other Solid Angle units

Convert Spat to other Solid Angle units

Spat [sp]	Other unit
1	12.566371 Steradian [sr]