Respuesta :
Answer:
720 degrees = [tex]\frac{\pi}{4}\ radians[/tex] or 0.785 radians.
Step-by-step explanation:
Given:
The angle in degrees in given as 720°
We need to convert this to radians.
Now, we know that, the relation between degrees and radians is given as:
180 degree = π radians
Therefore, using unitary method, the value of 1 degree can be calculated.
∴ 1 degree = [tex]\frac{\pi}{180}\ radians[/tex]
Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,
[tex]720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians[/tex]
Hence, the measure of 720 degrees in radians is [tex]\frac{\pi}{4}\ radians[/tex] or 0.25π radians or 0.785 radians.
