Radian measure!!

Radian Measure
Converting from radians to degrees

IN THE RADIAN SYSTEM of angular measurement, the measure of one revolution is 2π.



Half a circle, then, is π. And, most important, each right angle is half of π: π/2.
Three right angles will be: 3· π/2= 3π/2.
Five right angles will be 5π/2. And so on.

Radians into Degrees
Students should have a clear picture of this:




π/4 is half of π/2, so it equals a 45°.
π/4 is one fourth of π.
π/3 is one third. Which equals 180° ÷ 3 = 60°.
π/6 is one sixth: 180° ÷ 6 = 30°.


5π/4
= 5 · 180/4
= 5· 45°
= 225°.

2π/3 is a third of 2π. So 360° ÷ 3 = 120°.

***To convert from radians to degrees, you convert the pie π into degrees : 180° and solve for the angle.
If it is π/4 angle, you divide 180 into 4 which is 45. Therefore π divided 4 times equals a 45°.

Solve:
Convert from radian measures into degrees:
a) π/8
b) 2π/5
c) 7π/4
d)9π/2
e)4π/3
f)5π/6
g)7π/9

ANSWERS IN COMMENTS!!