What is a Radian?

What is a Radian?

Explore how the definition of a radian is visualized and find its relationship to the radius of a circle.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Offene Frage 1

In your own words, describe an angle that has a measure of 1 radian.

Eingabe von Text und mathematischen Symbolen

Offene Frage 2

What is the angle measure of a semicircle in radians?

Eingabe von Text und mathematischen Symbolen

Offene Frage 3

What is the angle measure of a full circle in radians?

Eingabe von Text und mathematischen Symbolen

Offene Frage 4

What is the circumference of a circle with radius ?

Eingabe von Text und mathematischen Symbolen

Offene Frage 5

What is the arc length of a semicircle if the circle has a radius of ?

Eingabe von Text und mathematischen Symbolen

Offene Frage 6

What can you say about the ratio of the arc length to the corresponding central angle?

Eingabe von Text und mathematischen Symbolen