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Understanding Radians Visually - Exploration

A new way to measure angles

Interact with the applets below (we will do this in class) and answer the questions that follow.

1.

How many times does the diameter fit around the circumference?

2.

How many times does the radius fit around the circumference?

3.

In your own words explain how an angle with a measurement of 1 radian is constructed?

4.

If we change the radius (applet 2), will that change the angle measurement for one radian? Explain.

5.

How many radians are equivalent to 360 degrees (full circumference)?

6.

How many degrees are equivalent to radians? Explain