ATL (Criteria B): Exploring Radians and Degrees

Slowly move the "Change Angle" slider all the way to the right until the entire circumference has been traced.
1) How many different colors arc lengths are formed?
2) One arc represents one radian.
You may drag the radius slider to change the length of the radius. [br]What did you observe about the length of one arc and the length of the radius?[br][i][quote][i]The length of one arc ______ to the length of the radius.[/i][/quote][/i]
Now, make sure the diagram is a unit circle, i.e. r = 1.
3) How many radians are in a circle? (HINT: How many arcs is formed for a circle.)
Next, determine the degrees formed by one arc length (which is 1 radian).
- Select the "angle" tool in the upper left-hand corner. [br]- Select one of the endpoints, the center, and the other endpoints.
4) How many degrees are in 1 radian?
[Hint: supposed to be an acute angle.]
5) Combine Q2 & Q4.
You mentioned that there are [u][i][b]x[/b][/i] radians[/u] in a circle (in Q2) and [u]1 radian= [b][i]y[/i][/b] degrees[/u] in Q4. What can you conclude from these two pieces of information?
6) Suggest next pattern.
Suggest [b]how[/b] I should calculate the length of 2 colored arcs of a circle with a radius of 3.0. [br][Reminder: [i]Explain the process[/i] instead of the final answer.]
7) Suggest a general rule.
Suggest how I should calculate the length of an arc of a circle, [i][b]s[/b][/i] with a radius of [b][i]r[/i][/b] where the arc formed an angle of [math]\theta[/math] radian.[br]Write a formula relate [b][i]s, r[/i][/b], [math]\theta[/math].[br][img]data:image/png;base64,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[/img]
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Information: ATL (Criteria B): Exploring Radians and Degrees