Which expression converts 45° to radians?

a. 45 degrees times.

b. 180 degrees.

c. 180 degrees/pi.

d. pi/180 degrees.

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°