Respuesta :
It is
[tex]3\pi[/tex]
The rule is simple :
[tex]2\pi \: \text{rad} \: = 360 \: \text{degrees}[/tex]
Then you play with the number you seek.
[tex]3\pi[/tex]
The rule is simple :
[tex]2\pi \: \text{rad} \: = 360 \: \text{degrees}[/tex]
Then you play with the number you seek.
Answer:
[tex]3\pi [/tex]
Step-by-step explanation:
We are asked to find the equivalent radian measure of [tex]540^{\circ}[/tex].
We will use formula [tex]1^{\circ}=\frac{\pi}{180^{\circ}}[/tex].
We will multiply 540 degrees by [tex]\frac{\pi}{180^{\circ}}[/tex] to convert it in radians.
[tex]\frac{\pi}{180^{\circ}}\times 540^{\circ}[/tex]
[tex]\frac{\pi}{1}\times 3[/tex]
[tex]3\pi [/tex]
Therefore, [tex]3\pi [/tex] radians is equivalent measure to 540 degrees.