Express the following in radians:?

Question

a. 135 degrees

b. - 15 degrees

c. 60 degrees

can u guys also explain? please!!

Answer 1

2 pi = 360 degrees in radians

This is found using a unit circle.

The unit circle has a circumference of 2 pi for 360 degrees

a. (3/2) pi

b. (-1/12) pi or (23/12) pi

c. (1/3) pi

Answer 2

Radian is a measure of angles.

There are 2 Pi radians in 360 degrees.

Now you can give the answers.

Answer 3

do your own homework.

Answer 4

To convert from degrees to radians, multiply by π/180.  Then reduce the fraction.

PROBLEM A:

135 * π/180

= (135/180)π

= (27/36)π

= (3/4)π

PROBLEM B:

-15 * π/180

= (-15/180)π

= (-1/12)π

PROBLEM C:

60 * π/180

= (60/180)π

= (1/3)π