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Is Arc Length Proportional to Circumference?

An arc measurement is a number (measured in degrees) representing the amount of rotation. Arc measure is a portion of 360 degrees (1 full rotation). Remember, it is equal to the measure of the central angle. An arc length is is the distance 'walked' along the edge of a circle. What is the circumference of a circle? EXPLORE: Move C around the edge of the circle. Observe what stays the same and what changes. Answer the questions below.

ARC MEASURE

What is the relationship between the measure of arc BC and the total degrees in a circle?

ARC LENGTH

What is the relationship between the length of an arc and the circumference of a circle?