Convert from radian to degrees?

**homeylova223** · January 4th 2011, 12:15 PM

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

**e^(i*pi)** · January 4th 2011, 12:20 PM

Multiply your two numbers together to get the value in degrees

**masters** · January 4th 2011, 12:40 PM

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

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

**Archie Meade** · January 4th 2011, 01:07 PM

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 $\pi$

This converts radians to degrees.

$180^o={\pi}\;\;radians$

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

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

Then, whatever "x radians" is, place it into the left-hand side to obtain the angle in degrees.

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