# Math Help - Convert from radian to degrees?

1. ## Convert from radian to degrees?

17.5 I know to convert to degrees you must multiply time (180 degrees/pi) But I am not sure how to do this.

2. Multiply your two numbers together to get the value in degrees

3. Hi homeylova223,

Some examples might help:

[1] $\text{Convert }\frac{2\pi}{3} \text{ radians to degree measure.}$

$\frac{2\pi}{3}=\frac{2\pi}{3} \times \frac{180^{\circ}}{\pi}=120^{\circ}$

[2] $\text{Convert }17.5 \text{ radians to degree measure.}$

$17.5 \times \frac{180}{\pi}=\frac{3150}{\pi}\approx 1002.7^{\circ}$

4. Originally Posted by homeylova223
17.5 I know to convert to degrees you must multiply time (180 degrees/pi) But I am not sure how to do this.
Hi homeylova223,

we multiply by 180 and "divide" by $\pi$

$180^o={\pi}\;\;radians$
$\displaystyle\frac{180^o}{\pi}=1\;\;radian$
$\displaystyle\ x\frac{180^o}{\pi}=x\;\;radians$