RADIANS
Essential Question: How do you
convert from degrees to radians and
from radians to degrees?
Demonstrated in writing on performance
task (Unit 5 Task 2).
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
WHAT ARE RADIANS?
A radian is a unit of angle, equal to an angle at
the center of a circle whose arc is equal in length
to the radius.
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
TO CONVERT FROM DEGREES TO RADIANS…
• Multiply the degrees by
•
•
𝝅
𝟏𝟖𝟎
You should have π in your answer.
You should reduce the fractions if possible
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
EXAMPLE: CONVERT THE FOLLOWING ANGLES
FROM DEGREES INTO RADIANS.
120°
30°
210°
350°
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
TO CONVERT FROM RADIANS TO DEGREES…
• Multiply the degrees by
•
•
𝟏𝟖𝟎
𝝅
You should not have π in your answer.
Your answer should be a whole number or a
decimal.
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
EXAMPLE: CONVERT THE FOLLOWING ANGLES
FROM RADIANS TO DEGREES
𝝅
𝟏𝟏𝝅
𝟒
𝟔
𝟓𝝅
𝟔
𝟕𝝅
𝟏𝟐
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).
ON YOUR PERFORMANCE TASK…
Pick one of the lines in your outside ring to be the x axis.
This will represent 0°.
Decide where 45°, 90°, 135°, 180°, 225°, 270° and
315° are and label them.
Convert each of these measurements into radians and
label them.
EQ: How do you convert from degrees to radians and from radians to degrees?
Demonstrated in writing in performance task (Unit 5 Task 2).