iStockphoto/Thinkstock
To this point in the lesson you have only been dealing with coterminal angles—angles where the terminal arms coincide. In Try This 3 you will explore angles formed by incomplete revolutions. You will explore how the distance a horse moves in a circle relates to the radian measure of the angle the horse travels.
In Try This 2 you looked at a horse walker with a radius of 6 m. The horses took 12 s to walk 1 revolution. You found the distance of 1 revolution to be
6 s | 3 s | 4 s | |
Fraction of 1 Revolution |
of a revolution | ||
Distance Travelled by White Horse to the Nearest Tenth of a Metre, or Arc Length |
circumference × amount of a revolution
|
||
Diagram of Rotational Angle in Standard Position |
|||
Angle of Rotation in Degrees |
360° × = 180° | ||
Angle of Rotation in Radians |
2π × = π |
Explain how you determined the distance travelled by the horse.
Save your responses in your course folder.
Share 2
Discuss your responses to Try This 3 and the following questions with a classmate.
If required, save a record of your discussion in your course folder.