Respuesta :
To convert from degree to radian,
multiply by,
[tex] \frac{ \pi}{180 \degree} [/tex]
To convert from radian to degree, multiply by,
[tex] \frac{180 \degree}{ \pi} [/tex]
For example
90° in radian
[tex] = 90 \degree \times \frac{ \pi}{180 \degree} [/tex]
[tex] = \frac{ \pi}{2} \: radian[/tex]
multiply by,
[tex] \frac{ \pi}{180 \degree} [/tex]
To convert from radian to degree, multiply by,
[tex] \frac{180 \degree}{ \pi} [/tex]
For example
90° in radian
[tex] = 90 \degree \times \frac{ \pi}{180 \degree} [/tex]
[tex] = \frac{ \pi}{2} \: radian[/tex]
The radius of a circle and the circumference can be connected to the equation [ C = 2πr ]. In a circle, there are 2π radians that makeup 360°. In other words, 180° each or π radians each. Finally, to convert degrees to radians, multiply the angle in degrees by π/180°.
Lets say we are given an angle of 60°. We can solve very easily like this:
60° × π/180° ≈ 1.05 rad
Best of Luck!