# How do you convert 25 degrees into radians?

0.43633\ \text{rad

#### Explanation:

To change ${x}^{\setminus} \circ$ into radians multiply it by $\setminus \frac{\pi}{180}$ to get $x \setminus \cdot \setminus \frac{\pi}{180}$ rad.

Given that

${25}^{\setminus} \circ$

$= 25 \setminus \cdot \setminus \frac{\setminus \pi}{180}$

$= \frac{5 \setminus \pi}{36}$

=0.43633\ \text{rad

Jul 28, 2018

${25}^{\circ}$ is $\frac{5 \pi}{36}$ or $0.4363$ radians

#### Explanation:

Each $180$ degrees are $\pi$ radians

and hence $1$ degree is $\frac{\pi}{180}$ radians

and $25$ degrees is $\frac{\pi}{180} \times 25 = \frac{5 \pi}{36}$

= $\frac{5 \times 3.14159}{36} = 0.4363$ radians