Trigonometry: Degree and Radian Conversion

Vocabulary and conversion formulas for angle measurements between degrees and radians based on the lecture notes.

$$1\,\text{radian}$$

$$\frac{180^{\circ}}{\pi}$$

$$\pi\,\text{radians}$$

$$180^{\circ}$$

Degree to Radian (Rad)

$$\text{Degree} \times \frac{\pi}{180^{\circ}}$$

Radian equivalent of $30^{\circ}$

$$\frac{\pi}{6}\,\text{rad}$$

Radian equivalent of $45^{\circ}$

$$\frac{\pi}{4}\,\text{rad}$$

Radian equivalent of $60^{\circ}$

$$\frac{\pi}{3}\,\text{rad}$$

Radian equivalent of $90^{\circ}$

$$\frac{\pi}{2}\,\text{rad}$$

$${360^{\circ}}/{5}$$

$$72^{\circ}$$

$${360^{\circ}}/{3}$$

$$120^{\circ}$$

$${360^{\circ}}/{4}$$

$$90^{\circ}$$

$${360^{\circ}}/{9}$$

$$40^{\circ}$$

$${360^{\circ}}/{10}$$

$$36^{\circ}$$

$${360^{\circ}}/{12}$$

$$30^{\circ}$$

$${360^{\circ}}/{15}$$

$$24^{\circ}$$

$${360^{\circ}}/{18}$$

$$20^{\circ}$$