Radian Angle Measures on the Unit Circle

What is the definition of a Radian?

• The definition of a Radian is a unit of angular measurement equal to the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

• A Radian is a unit of time measurement

• A Radian is a type of geometric shape

• A Radian is a unit of linear measurement

How do you convert 45 degrees to Radians?

• π radians

• π/4 radians

• π/2 radians

• 1 radian

If an angle is given in Radians as π/3, how do you convert it to degrees?

• 30 degrees

• 60 degrees

• 45 degrees

• 90 degrees

Convert 120 degrees to Radians.

• 2π/3

• 5π/4

• π/3

• 3π/2

Which of the following is closest to the measure of the angle shown?

• 7/10 π

• 3/8 π

• 7/20 π

• 3/2 π

What point corresponds to -π in the Unit Circle?

• (1,0)

• (0,1)

• (-1,0)

• (0,-1)

Mark each Radian Measure

in its correct spot

e

f

g

h

d

c

b

a

0

• (-0.5, 0.866)

Identify the Positive angle in both radians and degrees that represent point H.