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

Degree to Centiradian conversion table
Degree [°] Centiradian [centiradian]
1 1.745329
2 3.490659
3 5.235988
4 6.981317
5 8.726646
6 10.471976
7 12.217305
8 13.962634
9 15.707963
10 17.453293

Convert Degree to other Angle units