ANGLES AND
ANGLE MEASURE
Section 12.2
DEGREES AND RADIANS
• Angle measures can be given in either DEGREES or RADIANS
• In a circle, there are…
•
•
radians
DEGREES AND RADIANS
• To convert from DEGREES to RADIANS,
Multiply by
• To convert from RADIANS to DEGREES,
Multiply by
Example 1
Convert
CONVERT BETWEEN
DEGREES AND RADIANS
into radians
Example 2
Convert
radians into degrees
Example 3
Convert
CONVERT BETWEEN
DEGREES AND RADIANS
into radians
Example 4
Convert
degrees
radians into
Example 5
Convert
CONVERT BETWEEN
DEGREES AND RADIANS
into radians
Example 6
Convert
radians into degrees
STANDARD POSITION
STANDARD POSITION
POSITIVE angles go to the left
NEGATIVE angles go to the
right
Example 1
Draw
DRAW ANGLES IN
STANDARD POSITION
in standard position
Example 2
Draw
in standard position
Example 3
Draw
position
DRAW ANGLES IN
STANDARD POSITION
in standard
Example 4
Draw
in standard position
Example 5
Draw
DRAW ANGLES IN
STANDARD POSITION
in standard position
Example 6
Draw
in standard position
ANGLES WITH MORE
THAN ONE ROTATION
Example 1
Draw
ANGLES WITH MORE
THAN ONE ROTATION
in standard position
Example 2
Draw
position
in standard
Example 3
Draw
ANGLES WITH MORE
THAN ONE ROTATION
in standard position
Example 4
Draw
in standard position
COTERMINAL ANGLES
• COTERMINAL ANGLES are angles which land in the same
spot when drawn in standard position.
• In degrees, add or subtract
• In radians, add or subtract
radians
COTERMINAL ANGLES
Example 1
Find one positive and one
negative angle coterminal with
Example 2
Find one positive and one
negative angle coterminal with
COTERMINAL ANGLES
Example 3
Find one positive and one
negative angle coterminal with
Example 4
Find one positive and one
negative angle coterminal with
radians
COTERMINAL ANGLES
Example 5
Find one positive and one
negative angle coterminal with
radians
Example 6
Find one positive and one
negative angle coterminal with
radians