Pre-Cal 40S Slides February 5, 2009

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Darren Kuropatwa

The document provides examples of problems involving angles, radians, and the unit circle. It asks how many degrees a bicycle wheel has turned given its diameter and distance traveled by a point on the rim. It also asks how many radians the wheel has turned and how many radians are between the minute and hour hands of a clock at 4:00. The document asks for a positive coterminal angle for an expression and the area of a sector of a circle given the central angle and radius.

Introducing the unit
circle and it's
family of
functions ...

Me Fish!

A bicycle wheel has a diameter of 0.4 meters. A point on the outer
rim travelled 2.6 m. How many degrees has the wheel turned?

A bicycle wheel has a diameter of 0.4 meters. A point on the outer
rim travelled 2.6 m. How many radians has the wheel turned?

How many radians are there between the minute and hour hands of
a clock at 4:00?

State a positive coterminal angle for .

In a circle of radius 6 cm, a sector has a central angle of 30°. What
is the area of this sector in square centimeters?

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1. Introducing the unit circle and it's family of functions ... Me Fish!

2. A bicycle wheel has a diameter of 0.4 meters. A point on the outer rim travelled 2.6 m. How many degrees has the wheel turned?

3. A bicycle wheel has a diameter of 0.4 meters. A point on the outer rim travelled 2.6 m. How many radians has the wheel turned?

4. How many radians are there between the minute and hour hands of a clock at 4:00?

5.

6.

7.

8.

9. State a positive coterminal angle for .

10. In a circle of radius 6 cm, a sector has a central angle of 30°. What is the area of this sector in square centimeters?