Please help me convert radian to degree?

Question

calculate the degree measure of the angles having radian measures

a. pi/6

b. -3pi/2

c. 5pi/4

d. 3pi

e. 4

f. -3/4

g. -12

NOTE: pi=180 degrees

Answer 1

remember conversion factor

180degrees/pi radians =1

or

pi/180 = 1

and pi radians= 180 degrees

Multiply by your conversion factor to get the correct units on top; in your case:

Xradians*(180degrees/pi radians)= (180/pi)*X

Answer 2

Just multiply by 180/pi.

a. pi/6*180/pi = 180/6 = 30 degrees

b. -3pi/2*180/pi = -540/2 = -270 deg.

c. 5pi/4*180/pi = 5*180/4 = 225 deg.

d. 3pi*180/pi = 3*180 = 540 deg.

e. 4*180/pi = 720/pi deg.

f. -3/4*180/pi = -540/4pi = -135/pi deg.

g. -12*180/pi = -2160/pi deg.

Answer 3

If these are all in radians, then just multiply them by 180/pi to change to degrees.

a. (pi/6)(180/pi) = 180/6 = 30

b.  (-3pi / 2)(180/pi) = (-3/2)(180) = -270

c.  (5pi/4)(180/pi) = (5/4)(180) = (5)(45) = 225

d.  (3pi)(180/pi) = (3)(180) = 540

e.  4(180/pi) = 720/pi

f.  (-3/4)(180/pi) = -135/pi

g.  (-12)(180/pi) = -2160/pi