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Answer:

pi/180°

Step-by-step explanation:

A full circle of 360 degrees is 2 pi radians.

Dividing by 2, 180 degree is pi radians.

180 degrees = pi radians

Divide both sides of the above equation by 180 degrees.

(180 degrees)/(180 degrees) = (pi radians)/(180 degrees)

1 = pi/180°

Since pi/180° equals 1, you can multiply it by a number an not change the value of a number just like 1 time 5 is still 5.

45° * (pi/180°) will convert 45 degrees to radians.

Answer: pi/180°

The expression that converts 45 degrees to radians is [tex]pi \div 180 degrees[/tex].

The following information should be considered:

  • The full circle that contains 360 degrees is 2 pi radians.
  • If we divided it by 2 so it comes 180 degrees.

i.e.

pi radians = 180 degrees

Now divide 180 degrees to both the sides.

So

[tex]1 = pi \div 180^{\circ}[/tex]

It does not change the value of the number. It just remains the same.

Therefore, the fourth option is correct.

Learn more: brainly.com/question/7721249