Graphing an Angle with Multiple Revolutions

Graphing an Angle with Multiple Revolutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph 8 pi on a circle by understanding the concept of pi and revolutions. It highlights the inefficiency of graphing multiple revolutions and suggests a simplified approach by breaking down 8 pi into smaller components. The tutorial concludes with the realization that additional revolutions result in the same terminal side, emphasizing the concept of theta equaling zero.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of reaching 2 pi when graphing 8 pi on a circle?

It marks the start of the graph.

It is the midpoint of the graph.

It is the endpoint of the graph.

It indicates a full revolution around the circle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is graphing multiple revolutions considered inefficient?

It results in the same terminal side.

It requires more calculations.

It is difficult to visualize.

It takes more time to complete.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 8 pi be expressed in terms of 2 pi revolutions?

As 8 times 1 pi

As 4 times 2 pi

As 1 time 8 pi

As 2 times 4 pi

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiple revolutions around a circle?

The same terminal side

A different terminal side

A different angle measurement

A different starting point

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the concept of additional revolutions imply about the angle?

The angle increases with each revolution.

The angle remains the same despite multiple revolutions.

The angle changes direction with each revolution.

The angle decreases with each revolution.