Radians And The Unit Circle Worksheet Template
ADVERTISEMENT
1
2UNIT 1 •
Arcs, Angles and the Unit Circle NOTES
Lesson 2: Radians and the Unit Circle
Instruction
Introduction
Key Vocabulary & Concepts
•
A _________ is the measure of the central angle that intercepts an arc equal in length to the radius of the circle.
•
A ___________________ is an angle with its vertex at the center of a circle.
•
The radian system of measurement compares the ___________________ that the angle intersects to the
_________________ of the circle that contains it.
The lowercase Greek letter _____________ ( θ ) is commonly used to refer to an unknown angle measure.
•
θ
The measure of an angle described as
is
1 radian
when
•
r = 5cm
the _____________________ equals the _______________,
as shown in the figure.
radian
S = 5cm
One radian is approximately equal to ___________ degrees
•
You may recall from our activity “Throwing Pi”, that the arc length of a circle is merely a fractional portion of
the Circumference, and can be found using this formula:
and, by a little algebra
It becomes this:
S
2
r
360
π
Radians are often expressed in terms of
, which provides an exact measurement instead of a decimal
•
approximation.
A full rotation (360°) is equal to _______________ radians. This is because the arc length of a full rotation
•
is also the circumference of the circle.
Common Errors/Misconceptions
•
using the incorrect conversion factor when converting; i.e., using the reciprocal
π
π
•
mistakenly believing that
= 180° instead of
radians = 180°
According to Luiggi, what is the KEY to his Pizza;
C
C
The
rust is: __________________ or
= __________
Remember, Arc length is like a “FRACTIONAL PORTION” of a circle;
s
D
or
s
2
r
360
360
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education