Respuesta :

There is two ways to measure an angle: in degrees and radians.

 To solve the exercise above and convert 210° from degrees to radians, you have to mutilply it by π and divide it by 180°, as below:

 210° to radians:

 =(210°xπ)/180°

 Therefore, the result is:

 =(7/6)π radians
 =3.6651 radians

Answer: 3.6651

Step-by-step explanation:

The formula to convert [tex]\theta[/tex] degrees to radians is given by :-

[tex]\dfrac{\pi}{180^{\circ}}\times\theta[/tex]

Given : Angle : [tex]\theta=210^{\circ}[/tex]

Then , the measure of angle in radians is given by :-

[tex]\dfrac{\pi}{180^{\circ}}\times210^{\circ}[/tex]

Using the value of [tex]\pi=3.14159[/tex], we get

[tex]\dfrac{3.14159}{6}\times7\approx3.6651[/tex]

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