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What is a Radian?

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

Úkol 1

Putting It All Together

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

Úkol 2

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

Úkol 3

What is the angle measure of a semicircle in radians?

Úkol 4

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

Úkol 5

What is the circumference of a circle with radius ?

Úkol 6

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

Úkol 7

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