Convert Degree to Centiradian
Unit definitions
Degree
The degree is a unit of angle commonly used in daily life. One full circle consists of $360$ degrees.
Centiradian
$\frac{1}{100}$ of a radian is a centiradian.
How to convert Degree to Centiradian
$$\text{Angle}_{\text{centiradian}} = \text{Angle}_{\text{°}} \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
Examples
Example 1
Convert $45.0\ \text{°}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = 45.0 \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 78.539816$$
$$\therefore \ 45.0\ \text{°} = 78.539816 \ \text{centiradian}$$
Example 2
Convert $60.0\ \text{°}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = 60.0 \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 104.719755$$
$$\therefore \ 60.0\ \text{°} = 104.719755 \ \text{centiradian}$$
Example 3
Convert $100.0\ \text{°}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = 100.0 \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 174.532925$$
$$\therefore \ 100.0\ \text{°} = 174.532925 \ \text{centiradian}$$
Example 4
Convert $145.0\ \text{°}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = 145.0 \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 253.072742$$
$$\therefore \ 145.0\ \text{°} = 253.072742 \ \text{centiradian}$$
Example 5
Convert $170.0\ \text{°}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = 170.0 \cdot 0.5555555555555555555555555555555556 \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 296.705973$$
$$\therefore \ 170.0\ \text{°} = 296.705973 \ \text{centiradian}$$
Degree to Centiradian conversion table
Convert Degree to other Angle units
| Degree [°] | Other unit |
|---|---|
| 1 | 0.017453 Radian [rad] |
| 1 | 6E+1 Arcminute (Minute Angle) [′] |
| 1 | 3.6E+3 Arcsecond (Second Angle) [′′] |
| 1 | 0.002778 Revolution [rev] |
| 1 | 1.111111 Grade [grad] |