

Course 3, Unit 6  Circles and Circular Functions
Overview
This unit focuses on the consequences of the complete symmetry of circles.
The unit extends student understanding of proof in geometric settings
and broadens their understanding of application of important geometric
and trigonometric concepts.
New Key Ideas from Course 3, Unit 6

Properties of a line tangent to a circle, central angels, chords,
arcs, and radii of a circle: (See pages 396407.)

Angular velocity: the rate at which a rotating object such
as a pulley, sprocket, or a drive shaft turns (See page 421.)

Linear velocity: the distance that a point on a revolving
circle moves in a unit of time (See page 421.)

Radian: a unit which is defined as the measure of a central
angle of a circle that intercepts an arc equal in length to the radius
of the circle. 1 radian = 180°/π which is approximately
57.2958°. (See pages 427432.)

Modeling circular motion: using the sine or cosine functions (See
pages 425427 and 432437.)
