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Question

TRUE or FALSE & explain how :

1) If a circle is divided into 3 equal arcs, then each is a major arc.

2) Sector is the region between the chord and it's corresponding arc.

3) The degree measure of an arc is the compliment of the central angle containing the arc.

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Solution

1) false
For each arc, the remaining arc will have greater length

2)false
A "pie-slice" part of a circle - the area between two radiuses and the connecting arc of a circle.

3)false
There are two different ways to identify an arc. We can identify it by its length or by the measure of the angle that the arc creates in the center of a circle. The span of the arc is called the arc length, and the measure of the angle that the arc creates is called the arc measure. Check out the picture below, which illustrates both characteristics of an arc.



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