An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range?

• Oto radians

to i radians

to 37 radians

O 31 to 211 radians

O

Respuesta :

Answer:

0 to 37 radians

Step-by-step explanation:

WE can convert the angle 295° to radians we must use a conversion factor for the central angle. One degree is equal to 0.017453. We can use the formula:

[tex]radians=degree x 0.017453[/tex]

We can calculate the radians as:

[tex]=295\cdot{0.017453}=5.15radians[/tex]

The answer is 0 to 37 radians.

The measure of the central angle in radians is between 0 and 37.

Converting degrees to radians

To convert the value of an angle in degrees to radians, multiply the angle value by 0.017453.

Thus, performing the calculation with the value given by the statement we have:

                                             [tex]295 \times 0.017453[/tex]

                                                   [tex]= 5,15[/tex]

Thus, the value of the angle of 295º in radians is between 0 and 37 radians.

Learn more about converting degrees to radians in: brainly.com/question/2845836